[PDF] Top 20 Existence of multiple positive solutions for third order p Laplacian functional dynamic equations on time scales

... nonlinear functional dynamic equation on time scales and obtained sufficient conditions for the existence of positive ...the existence of at least twin positive ... See full document

... first order derivative explicitly and the main tool is a fixed point theorem due to Bai and ...difference equations and differential equations, as well as in the general time scale ... See full document

... and multiple positive solutions for boundary value problems recent ...differential equations, while others have studied the problem for difference equations, while still others have ... See full document

... of dynamic equations on time scales goes back to its founder Stefan Hilger 8 and is a new area of still fairly theoretical exploration in ...that dynamic equations on time ... See full document

... with p > ...the existence criteria of at least three positive solutions to the ...consider third-order p-Laplacian dynamic equation but also the nonlinear ... See full document

... the existence of three positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales with ... See full document

... of dynamic equations on time scales has been developing rapidly and has received much attention in recent ...difference equations and provides powerful new tools for exploring ... See full document

... “Positive solutions of singular p-Laplacian BVPs with sign changing nonlinearity on time scales,” Mathematical and Computer Modelling, ...of positive solutions for ... See full document

... the existence of positive solutions to prob- lem ...the existence of positive solutions for p-Laplacian dynamic equations on time ... See full document

... and multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are ... See full document

... nonlinear functional dynamic equation on a time scale and obtained sufficient conditions for the existence of positive solutions, Li and Liu 10 studied the eigenvalue problem for ... See full document

... In this study, by employing Bai-Ge’s fixed point theorem [], we get the existence of at least three positive solutions for boundary value problem (.). In fact, our result is also new when T = R ... See full document

... + p(t)x g(t) α + f t, x h(t) = , (.) on an arbitrary time scale T, where α is a quotient of odd positive ...of solutions for large t, we assume that sup T = ∞ and define the time ... See full document

... of time scales in his ...time scales. We remark that some researchers have studied the existence of nonoscillatory solutions of several kinds of nonlinear dynamic ... See full document

... of time scales in his ...of time scale calculus can be found in [–] and omitted ...the existence of nonoscilla- tory solutions to neutral dynamic equations on ... See full document

... Here and throughout, T is supposed to be a time scale, that is, T is any nonempty closed subset of real numbers in R with order and topological structure defined in a canonical way. The closed interval in T ... See full document

... the existence of positive solutions for boundary value problems on time scales [–] since the theory of dynamic equations on time scales has been a new ... See full document

... of time scales has recently received a lot of attention since it has a tremendous potential for ...of time scales was initiated by Hilger 9 in his ...in order to unify continuous and ... See full document

... Let T be a closed nonempty subset of R, and let T have the subspace topology inherited from the Euclidean topology on R. In some of the current literature, T is called a time scale or measure chain. For notation, ... See full document

... compact. In view of Lebesgue’s dominated convergence theorem on time scales [7], it is easy to prove that T is continuous. Hence, T is completely continuous. Theorem 2.1. [Krasnosel’skii] [13, 20] Let B be ... See full document