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Fixed point theorems for cyclic operators with application in Fractional integral inclusions with delays
Stability of interacting traveling waves in reactionconvectiondiffusion systems
1.  Universidade Federal de Juiz de Fora, Juiz de Fora, MG 36036900, Brazil 
2.  Columbia College, Columbia University, New York, NY 10027, United States 
3.  Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro, RJ 22460320, Brazil 
4.  Department of Mathematics, North Carolina State University, Raleigh, NC 276958205 
The paper is illustrated through a simple model for the injection of air into a porous medium that contains a solid fuel. The model considered here reproduces a variety of observed phenomena and yet is simple enough to allow rigorous investigation. We refer on earlier work containing proofs of existence of traveling waves corresponding to combustion waves by phase plane analysis were presented; wave sequences that can occur as solutions of Riemann problems were identified.
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