TY - JOUR JF - IJMSI JO - IJMSI VL - 4 IS - 2 PY - 2009 Y1 - 2009/11/01 TI - Qualitative Properties and Existence of Solutions for a Generalized Fisher-like Equation TT - N2 - 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. SP - 65 EP - 81 AU - Djebali, Smail AU - Kavian, Otared AU - Moussaoui, Toufik AD - KW - Linear and sub-linear ODEs KW - Variational Method KW - Fixed point Theorems KW - Compactness Criterion. UR - http://ijmsi.ir/article-1-90-en.html DO - 10.7508/ijmsi.2009.02.007 ER -