Criteria for Existence and Nonexistence of Positive Solutions to a Discrete Periodic Boundary Value Problem
Atici, F. Merdivenci; Cabada†, A.; Otero-Espinar‡, V.; Atici, F. Merdivenci; Department of Mathematics, Western Kentucky University; Cabada†, A.; Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela; Otero-Espinar‡, V.; Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela
Журнал:
Journal of Difference Equations and Applications
Дата:
2003
Аннотация:
We are concerned with proving the existence of positive solutions of a periodic boundary value problem for a discrete nonlinear equation We shall also obtain criteria which leads to nonexistence of positive solutions. Index theory for the positive smooth function f and lower and upper solutions when the function f is allowed to have nonconstant sign and to be singular at 0 are employed.
137.1Кб