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In this paper we prove existence and study the asymptotic behavior of mild solutions to a class of semi-linear abstract functional differentia1 equations which involve a nonlinear delay term. This… (More)
The theory of semigroups of linear operators and the recently developed theory of cosine operators is used to provide a variation of parameters representation of solutions to the equation governing… (More)
We study the global existence and approximation of the solutions to a degenerate reaction– diffusion system modeling photochemical generation and atmospheric dispersion of pollutants.
BackgroundA deterministic model is developed for the spatial spread of an epidemic disease in a geographical setting. The disease is borne by vectors tosusceptible hosts through criss-cross dynamics.… (More)
Such equations have physical application; for example, they arise in problems concerned with heat flow in materials with memory. Linear versions of (1.2) are treated in , [ll], , , and… (More)
We study the global existence and approximation of the solutions to a reaction diffusion system coupled with an ordinary differential equation modeling direct transmission between individuals and… (More)