[PDF] Top 20 Existence and nonexistence of positive solutions to a right focal boundary value problem on time scales

... Our next results give criteria for the existence of one, more than one, or no positive solutions of the eigenvalue problem (1.1)-(1.2) in terms of the superlinear or sublinear behavior of f ... 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 integral ... See full document

... on time scales (or measure chains) was initiated by Stefan Hilger in his PhD thesis in  [] (supervised by Bernd Aulbach) as a means of unify- ing structure for the study of differential equations in the ... See full document

... In this definition, we put inf∅ = sup T and sup ∅ = infT, where ∅, denotes the empty set. If s(t) > t, we say that t is right-scattered, while if r(t) < t, we say that t is left- scattered. Also, if t < ... See full document

... where p : ( ρ (a), σ (b)) T → [0, ∞) and f : [ ρ (a), σ (b)] T → [0, ∞) are continuous; and q : ( ρ (a), σ (b)) T → (–∞, ∞) is Lebesgue ∇ -integrable. By constructing a special cone and using a fixed point theorem, we ... See full document

... the existence of many positive solutions for a class of second-order p-Laplacian boundary value problems with impulse on time ... See full document

... a time scale an arbitrary nonempty closed subset of the real numbers ...on time scales, one can refer to 1–3, ...the existence of at least triple positive solutions to the ... See full document

... linear boundary value problems was initiated by II’in and Moi- seev [, ...multi-point boundary value problems have been widely studied by many ...multi-point boundary value ... See full document

... on time scales goes back to its founder Hilger [1], and is a new area of still theoretical exploration in ...on time scales can build bridges between continu- ous and discrete ...of ... See full document

... Remark 7.7. The question on how to ensure that [y(σ(t))] ∆ exists is naturally raised. This “smoothness” requirement will be satisfied if, for example, σ is differentiable or when the points in T are isolated ... See full document

... the existence of multiple positive solutions for the above Sturm-Liouville boundary value problems for second order differential ...the existence of three positive ...the ... 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 of at least ... See full document

... the existence of at least one symmetric positive solution of a second-order m-point boundary value problem on time scales such that the considered equation admits a ... See full document

... where ξ < η, f ∈ C0, 1 × 0, ∞, 0, ∞. By using fixed-point theorem for operators on a cone, they obtained some existence of at least three positive solutions for the above problem. However, ... See full document

... the existence of positive solutions to boundary value problems for dynamic equations on time ...multipoint boundary value problem with p-Laplacian; see 1–10 ... See full document

... where f : R → [0, + ∞ ) is continuous. Both of the papers [22, 23] make an application of an extension of the Leggett-Williams fixed point theorem. Li and Zhang [24] considered the existence of multiple symmetric ... See full document

... the right-hand side nonlinearity is a continuously defferentiable with respect to the real variable and the technical approach adopted is based on the three-critical-points theorem obtained by Ricceri ... See full document

... The rest of the paper is organized as follows. In Section , we introduce some lemmas and definitions which will be used later. In Section , the existence of positive solutions for the ... See full document

... the existence and nonexistence of positive solutions for problem () with the asymptotic behavior assumptions (S) of f at zero and ... See full document

... the existence of positive solutions for FBVP ...the nonexistence of positive ...a positive solution to FBVP ...the existence of a positive solution to the ... See full document