an:06375891
Zbl 1301.34020
Djebali, Sma??l; Kavian, Otared; Moussaoui, Toufik
Qualitative properties and existence of solutions for a generalized Fisher-like equation
EN
Iran. J. Math. Sci. Inform. 4, No. 2, 65-81 (2009).
00283278
2009
j
34B05 34B40 34C20
linear and sub-linear ODEs; variational method; fixed point theorems; compactness criterion
Summary: This paper is devoted to the study of an eigenvalue second order differential equation, supplied with homogenous Dirichlet conditions and set on the real line. In the linear case, the equation arises in the study of a reaction-diffusion system involved in disease propagation throughout a given population. Under some relations upon the real parameters and coefficients, we present some existence and nonexistence results. We use a variational method and fixed point arguments.