On Green's functions and positive solutions for boundary value problems on time scales
Journal of Computational and Applied Mathematics - Dynamic equations on time scales
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Existence of positive solutions to second-order time scale systems
Computers & Mathematics with Applications
Controlling wound healing through debridement
Mathematical and Computer Modelling: An International Journal
Positive solutions of nonlinear m-point boundary value problems on time scales
Journal of Computational and Applied Mathematics
Multiple positive solutions for functional dynamic equations on time scales
Computers & Mathematics with Applications
Higher order m-point boundary value problems on time scales
Computers & Mathematics with Applications
Hi-index | 7.29 |
In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p1, we study the existence of countably many positive solutions for nonlinear boundary value problems on time scales [@f(u^@D)]^@?+a(t)f(u(t))=0,t@?[0,T]"T,u(0)=@?i=1m-2@a"iu(@x"i),u^@D(T)=0, where @f:R-R is the increasing homeomorphism and positive homomorphism and @f(0)=0. We show the sufficient conditions for the existence of countably many positive solutions by using the fixed-point index theory and a new fixed-point theorem in cones.