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Volume 11, 2022

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Volume 2, 2013

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EECT Flyer: showing all essential information of the journal.
Evolution Equations and Control Theory (EECT) is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE's and FDEs. Topics include:

  *  Modeling of physical systems as infinite-dimensional processes
  *  Direct problems such as existence, regularity and well-posedness
  *  Stability, long-time behavior and associated dynamical attractors
  *  Indirect problems such as exact controllability, reachability theory and inverse problems
  *  Optimization - including shape optimization - optimal control, game theory and calculus of variations
  *  Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s)
  *  Applications of the theory to physics, chemistry, engineering, economics, medicine and biology

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A shape optimization problem constrained with the Stokes equations to address maximization of vortices
John Sebastian Simon and Hirofumi Notsu
2022, 11(6) : 1873-1902 doi: 10.3934/eect.2022003 +[Abstract](781) +[HTML](346) +[PDF](5732.03KB)
The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization
Mohammad Akil and Haidar Badawi
2022, 11(6) : 1903-1928 doi: 10.3934/eect.2022004 +[Abstract](504) +[HTML](180) +[PDF](468.71KB)
Invariant measure for neutral stochastic functional differential equations with non-Lipschitz coefficients
Andriy Stanzhytsky, Oleksandr Misiats and Oleksandr Stanzhytskyi
2022, 11(6) : 1929-1953 doi: 10.3934/eect.2022005 +[Abstract](583) +[HTML](151) +[PDF](596.05KB)
Blow-up of solutions to semilinear wave equations with a time-dependent strong damping
Ahmad Z. Fino and Mohamed Ali Hamza
2022, 11(6) : 1955-1966 doi: 10.3934/eect.2022006 +[Abstract](529) +[HTML](155) +[PDF](348.72KB)
From low to high-and lower-optimal regularity of the SMGTJ equation with Dirichlet and Neumann boundary control, and with point control, via explicit representation formulae
Roberto Triggiani and Xiang Wan
2022, 11(6) : 1967-1996 doi: 10.3934/eect.2022007 +[Abstract](468) +[HTML](158) +[PDF](477.51KB)
Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: Subordination principle
Arzu Ahmadova, Nazim I. Mahmudov and Juan J. Nieto
2022, 11(6) : 1997-2015 doi: 10.3934/eect.2022008 +[Abstract](541) +[HTML](304) +[PDF](406.38KB)
Blow-up of solutions to a viscoelastic wave equation with nonlocal damping
Donghao Li, Hongwei Zhang, Shuo Liu and Qingiyng Hu
2022, 11(6) : 2017-2031 doi: 10.3934/eect.2022009 +[Abstract](622) +[HTML](141) +[PDF](385.06KB)
Controller and asymptotic autonomy of random attractors for stochastic p-Laplace lattice equations
Li Song, Yangrong Li and Fengling Wang
2022, 11(6) : 2033-2054 doi: 10.3934/eect.2022010 +[Abstract](543) +[HTML](163) +[PDF](370.47KB)
Pullback attractors for weak solution to modified Kelvin-Voigt model
Mikhail Turbin and Anastasiia Ustiuzhaninova
2022, 11(6) : 2055-2072 doi: 10.3934/eect.2022011 +[Abstract](503) +[HTML](138) +[PDF](359.42KB)
Impulsive conformable fractional stochastic differential equations with Poisson jumps
Hamdy M. Ahmed
2022, 11(6) : 2073-2080 doi: 10.3934/eect.2022012 +[Abstract](416) +[HTML](172) +[PDF](248.29KB)
Attractors for a class of extensible beams with strong nonlinear damping
Eduardo Henrique Gomes Tavares and Vando Narciso
2022, 11(6) : 2081-2097 doi: 10.3934/eect.2022013 +[Abstract](562) +[HTML](271) +[PDF](416.71KB)
On analytic semigroup generators involving Caputo fractional derivative
Piotr Grabowski
2022, 11(6) : 2099-2127 doi: 10.3934/eect.2022014 +[Abstract](578) +[HTML](137) +[PDF](798.96KB)
Optimal control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data
Jean-Daniel Djida, Gisèle Mophou and Mahamadi Warma
2022, 11(6) : 2129-2163 doi: 10.3934/eect.2022015 +[Abstract](430) +[HTML](106) +[PDF](490.39KB)
Telegraph systems on networks and port-Hamiltonians. Ⅲ. Explicit representation and long-term behaviour
Jacek Banasiak and Adam Błoch
2022, 11(6) : 2165-2181 doi: 10.3934/eect.2022016 +[Abstract](358) +[HTML](101) +[PDF](397.79KB)
Well-posedness and stability of non-autonomous semilinear input-output systems
Jochen Schmid
2022, 11(6) : 2183-2208 doi: 10.3934/eect.2022017 +[Abstract](415) +[HTML](115) +[PDF](448.57KB)
Boundedness of solutions in a quasilinear chemo-repulsion system with nonlinear signal production
Runlin Hu, Pan Zheng and Zhangqin Gao
2022, 11(6) : 2209-2219 doi: 10.3934/eect.2022018 +[Abstract](344) +[HTML](108) +[PDF](332.25KB)
Controllability for Schrödinger type system with mixed dispersion on compact star graphs
Roberto de A. Capistrano–Filho, Márcio Cavalcante and Fernando A. Gallego
2022doi: 10.3934/eect.2022019 +[Abstract](434) +[HTML](123) +[PDF](384.49KB)
Stability properties for a problem of light scattering in a dispersive metallic domain
Serge Nicaise and Claire Scheid
2022doi: 10.3934/eect.2022020 +[Abstract](249) +[HTML](219) +[PDF](614.23KB)
Mathematical analysis of an abstract model and its applications to structured populations (I)
Mohamed Boulanouar
2022doi: 10.3934/eect.2022021 +[Abstract](258) +[HTML](104) +[PDF](392.45KB)
On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping
Hedy Attouch, Jalal Fadili and Vyacheslav Kungurtsev
2022doi: 10.3934/eect.2022022 +[Abstract](286) +[HTML](119) +[PDF](3123.12KB)
Optimal control for stochastic differential equations and related Kolmogorov equations
Ștefana-Lucia Aniţa
2022doi: 10.3934/eect.2022023 +[Abstract](500) +[HTML](369) +[PDF](405.1KB)
Stability of a damped wave equation on an infinite star-shaped network
Ahmed Bchatnia and Amina Boukhatem
2022doi: 10.3934/eect.2022024 +[Abstract](251) +[HTML](179) +[PDF](310.29KB)
Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity
Chunyan Zhao, Chengkui Zhong and Zhijun Tang
2022doi: 10.3934/eect.2022025 +[Abstract](328) +[HTML](80) +[PDF](413.89KB)
A general decay result for the Cauchy problem of plate equations with memory
Salim A. Messaoudi and Ilyes Lacheheb
2022doi: 10.3934/eect.2022026 +[Abstract](382) +[HTML](80) +[PDF](394.24KB)
Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement
Mohamed Alahyane, Mohammad M. Al-Gharabli and Adel M. Al-Mahdi
2022doi: 10.3934/eect.2022027 +[Abstract](203) +[HTML](73) +[PDF](4713.25KB)
Controllability results for Sobolev type $ \psi - $Hilfer fractional backward perturbed integro-differential equations in Hilbert space
Ichrak Bouacida, Mourad Kerboua and Sami Segni
2022doi: 10.3934/eect.2022028 +[Abstract](349) +[HTML](201) +[PDF](418.52KB)
Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces
Sergey Degtyarev
2022doi: 10.3934/eect.2022029 +[Abstract](264) +[HTML](69) +[PDF](625.22KB)
Optimal control of the 3D damped Navier-Stokes-Voigt equations with control constraints
Sakthivel Kumarasamy
2022doi: 10.3934/eect.2022030 +[Abstract](62) +[HTML](25) +[PDF](580.09KB)
Controllability of retarded time-dependent neutral stochastic integro-differential systems driven by fractional Brownian motion
Youssef Benkabdi and El Hassan Lakhel
2022doi: 10.3934/eect.2022031 +[Abstract](237) +[HTML](80) +[PDF](366.98KB)
Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources
Tran Van Tuan
2022doi: 10.3934/eect.2022032 +[Abstract](312) +[HTML](127) +[PDF](424.86KB)
A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity
Divyang G. Bhimani, Hichem Hajaiej, Saikatul Haque and Tingjian Luo
2022doi: 10.3934/eect.2022033 +[Abstract](217) +[HTML](132) +[PDF](488.71KB)
Asymptotic analysis of an age-structured predator-prey model with ratio-dependent Holling Ⅲ functional response and delays
Dongxue Yan, Yuan Yuan and Xianlong Fu
2022doi: 10.3934/eect.2022034 +[Abstract](151) +[HTML](75) +[PDF](775.21KB)
A note on control of one-dimensional heterogeneous reaction-diffusion equations
Maicon Sônego and Raju Roychowdhury
2022doi: 10.3934/eect.2022035 +[Abstract](143) +[HTML](55) +[PDF](255.42KB)
Analysis of diffusive size-structured population model and optimal birth control
Manoj Kumar, Syed Abbas and Rathinasamy Sakthivel
2022doi: 10.3934/eect.2022036 +[Abstract](252) +[HTML](45) +[PDF](2060.17KB)
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force
Mohamed Fadili
2022doi: 10.3934/eect.2022037 +[Abstract](114) +[HTML](40) +[PDF](408.42KB)
Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system
Víctor Hernández-Santamaría
2022doi: 10.3934/eect.2022038 +[Abstract](106) +[HTML](45) +[PDF](566.61KB)
Time periodic solution to a mechanochemical model in biological patterns
Chengxin Du and Changchun Liu
2022doi: 10.3934/eect.2022039 +[Abstract](229) +[HTML](107) +[PDF](359.63KB)
Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition
Yongyang Liu and Yansheng Liu
2022doi: 10.3934/eect.2022040 +[Abstract](153) +[HTML](82) +[PDF](583.86KB)
Boundary null controllability for the heat equation with dynamic boundary conditions
Salah-Eddine Chorfi, Ghita El Guermai, Abdelaziz Khoutaibi and Lahcen Maniar
2022doi: 10.3934/eect.2022041 +[Abstract](103) +[HTML](48) +[PDF](370.46KB)
Exact controllability of semilinear heat equations through a constructive approach
Sylvain Ervedoza, Jérôme Lemoine and Arnaud Münch
2022doi: 10.3934/eect.2022042 +[Abstract](72) +[HTML](31) +[PDF](3150.79KB)
Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses
K. Sanjay and P. Balasubramaniam
2022doi: 10.3934/eect.2022043 +[Abstract](89) +[HTML](55) +[PDF](389.37KB)
Time periodic solution to chemotaxis-shallow water system in a periodic domain
Qingfang Shi and Xinli Zhang
2022doi: 10.3934/eect.2022044 +[Abstract](71) +[HTML](27) +[PDF](362.61KB)
Stabilization of nonautonomous linear parabolic-like equations: Oblique projections versus Riccati feedbacks
Sérgio S. Rodrigues
2022doi: 10.3934/eect.2022045 +[Abstract](62) +[HTML](47) +[PDF](1371.22KB)
The Heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories
Akram Chahid Bagy, Zaki Chbani and Hassan Riahi
2022doi: 10.3934/eect.2022046 +[Abstract](101) +[HTML](35) +[PDF](544.82KB)
On the well-posedness of a tensor-based second order PDE with bilateral term for image super-resolution
El Mourabit Idriss, Abdelilah Hakim and Amine Laghrib
2022doi: 10.3934/eect.2022047 +[Abstract](45) +[HTML](8) +[PDF](5926.9KB)
On a beam model with degenerate nonlocal nonlinear damping
Vando Narciso, Fatma Ekinci and Erhan Pişkin
2022doi: 10.3934/eect.2022048 +[Abstract](77) +[HTML](21) +[PDF](365.5KB)
Robustness for coupled inclusions with respect to variable exponents
Jacson Simsen
2022doi: 10.3934/eect.2022049 +[Abstract](31) +[HTML](20) +[PDF](359.0KB)
Controllability for fractional evolution inclusions without compactness
Yong Zhou, V. Vijayakumar and R. Murugesu
2015, 4(4) : 507-524 doi: 10.3934/eect.2015.4.507 +[Abstract](6167) +[PDF](424.8KB) Cited By(78)
Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm
Abderrahim Azouani and Edriss S. Titi
2014, 3(4) : 579-594 doi: 10.3934/eect.2014.3.579 +[Abstract](5253) +[PDF](418.2KB) Cited By(33)
On the Cauchy problem for the Schrödinger-Hartree equation
Binhua Feng and Xiangxia Yuan
2015, 4(4) : 431-445 doi: 10.3934/eect.2015.4.431 +[Abstract](5383) +[PDF](441.7KB) Cited By(25)
On Kelvin-Voigt model and its generalizations
Miroslav Bulíček, Josef Málek and K. R. Rajagopal
2012, 1(1) : 17-42 doi: 10.3934/eect.2012.1.17 +[Abstract](7377) +[PDF](596.6KB) Cited By(22)
Hyperbolic Navier-Stokes equations I: Local well-posedness
Reinhard Racke and Jürgen Saal
2012, 1(1) : 195-215 doi: 10.3934/eect.2012.1.195 +[Abstract](5548) +[PDF](426.3KB) Cited By(22)
The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
Abdelaziz Soufyane and Belkacem Said-Houari
2014, 3(4) : 713-738 doi: 10.3934/eect.2014.3.713 +[Abstract](5083) +[PDF](498.1KB) Cited By(21)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](7033) +[PDF](724.1KB) Cited By(21)
Rational decay rates for a PDE heat--structure interaction: A frequency domain approach
George Avalos and Roberto Triggiani
2013, 2(2) : 233-253 doi: 10.3934/eect.2013.2.233 +[Abstract](5279) +[PDF](610.3KB) Cited By(20)
Finite determining parameters feedback control for distributed nonlinear dissipative systems -a computational study
Evelyn Lunasin and Edriss S. Titi
2017, 6(4) : 535-557 doi: 10.3934/eect.2017027 +[Abstract](4129) +[HTML](153) +[PDF](4973.5KB) Cited By(19)
Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems
Björn Augner and Birgit Jacob
2014, 3(2) : 207-229 doi: 10.3934/eect.2014.3.207 +[Abstract](4631) +[PDF](458.9KB) Cited By(18)
Some results on the behaviour of transfer functions at the right half plane
Tahir Aliyev Azeroğlu, Bülent Nafi Örnek and Timur Düzenli
2022, 11(1) : 169-175 doi: 10.3934/eect.2020106 +[Abstract](2546) +[HTML](571) +[PDF](284.35KB) PDF Downloads(1656)
On Kelvin-Voigt model and its generalizations
Miroslav Bulíček, Josef Málek and K. R. Rajagopal
2012, 1(1) : 17-42 doi: 10.3934/eect.2012.1.17 +[Abstract](7377) +[PDF](596.6KB) PDF Downloads(910)
An inverse problem for the pseudo-parabolic equation with p-Laplacian
Stanislav Nikolaevich Antontsev, Serik Ersultanovich Aitzhanov and Guzel Rashitkhuzhakyzy Ashurova
2022, 11(2) : 399-414 doi: 10.3934/eect.2021005 +[Abstract](2065) +[HTML](565) +[PDF](533.02KB) PDF Downloads(895)
Infimal convolution and duality in convex optimal control problems with second order evolution differential inclusions
Elimhan N. Mahmudov
2021, 10(1) : 37-59 doi: 10.3934/eect.2020051 +[Abstract](2132) +[HTML](333) +[PDF](447.79KB) PDF Downloads(839)
New results on controllability of fractional evolution systems with order $ \alpha\in (1,2) $
Yong Zhou and Jia Wei He
2021, 10(3) : 491-509 doi: 10.3934/eect.2020077 +[Abstract](3072) +[HTML](511) +[PDF](441.62KB) PDF Downloads(813)
Regularity and stability of a wave equation with a strong damping and dynamic boundary conditions
Nicolas Fourrier and Irena Lasiecka
2013, 2(4) : 631-667 doi: 10.3934/eect.2013.2.631 +[Abstract](5795) +[PDF](803.7KB) PDF Downloads(765)
On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations
Manil T. Mohan
2020, 9(2) : 301-339 doi: 10.3934/eect.2020007 +[Abstract](4018) +[HTML](638) +[PDF](485.25KB) PDF Downloads(764)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](7033) +[PDF](724.1KB) PDF Downloads(690)
Continuity with respect to fractional order of the time fractional diffusion-wave equation
Nguyen Huy Tuan, Donal O'Regan and Tran Bao Ngoc
2020, 9(3) : 773-793 doi: 10.3934/eect.2020033 +[Abstract](3492) +[HTML](504) +[PDF](559.21KB) PDF Downloads(677)
Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations
Priscila Santos Ramos, J. Vanterler da C. Sousa and E. Capelas de Oliveira
2022, 11(1) : 1-24 doi: 10.3934/eect.2020100 +[Abstract](2320) +[HTML](543) +[PDF](462.89KB) PDF Downloads(639)

2021 Impact Factor: 1.169
5 Year Impact Factor: 1.294
2021 CiteScore: 2

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