[PDF] Top 20 The Existence of Positive Solutions for Third Order Laplacian Point Boundary Value Problems with Sign Changing Nonlinearity on Time Scales

... of time scales was initiated by Hilger 1 as a mean of unifying and extending theories from differential and difference ...of time scales has lead to several important applications in the study ... See full document

... a boundary value problem (BVP) with sign- changing nonlinearity on time scales by using the fixed point theorem on ...the existence of triple sym- metric ... See full document

... fixed point index to obtain the existence of nontrivial solutions for ...the existence of positive solutions for system ...of solutions for the following ... See full document

... fixed point theorem with properties of Green’s function, this paper shows the existence of multiple positive solutions for a class of m-point second-order Sturm-Liouville-like ... See full document

... the existence of positive solutions for nonlinear singular boundary value problems has been obtained 5, ...p-Laplacian problems with two-, three-, and ... See full document

... specific boundary value problems in literature but also nontrivially extends the situation to a much wider class of boundary value problems on time ...the existence ... See full document

... nonlocal boundary value problems include the multi-point boundary value problem (A is a step function) and the Riemann integral boundary value problem (A has a ... See full document

... a time scale and obtained sufficient conditions for the existence of positive ...two positive solutions of boundary value problem BVP for short ... See full document

... fixed point index theory, the authors showed the existence of multiple positive solutions for the above Sturm-Liouville boundary value problems for second order ... See full document

... for boundary value problems (BVPs) with nonlinearity depend- ing on the first order derivative have been studied extensively, see [–] and references ...first order derivative ... See full document

... the existence and mul- tiplicity of positive solutions of discrete boundary value problems have received much attention from many authors and a great deal of work has been done ... See full document

... fixed point index theory in the cone [], we get the existence of at least two positive solutions for the impulsive BVP ...many positive solutions. By using a double fixed ... See full document

... the existence of positive solutions to prob- lem ...fixed point theorem. For some recent results on the existence of positive solutions for p-Laplacian dynamic ... See full document

... the existence, nonexistence, and multiplicity of positive solutions for a class of nonlinear boundary value problems of third-order differential equations with ... See full document

... the boundary value problems ...three positive solutions under suitable ...consider third-order p-Laplacian dynamic equation on time scales but also ... See full document

... nonlinear third-order boundary value problems with integral boundary conditions on time ...fixed point theorem, we establish the existence of at least three ... See full document

... the existence of positive solutions to the problem ...the nonlinearity may be ...multi-point boundary value ...the existence of positive solutions for ... See full document

... the existence of at least one positive solution for p-Laplacian fractional order BVP ...the existence of at least three positive solutions for the p-Laplacian ... See full document

... in order to apply Krasnosel’skii’s fixed point theorem, the authors get an existence result when f (t, u) = g(t) f ¯ (u) and f ¯ (u) is sub-linear at u = 0 and u = ∞ or f ¯ (u) is super-linear at u = ... See full document

... case, and the theory used in [] cannot be used. And to the best knowledge of the authors, the resonant case on time scales has rarely been considered. So, motivated by the papers mentioned above, in this ... See full document