[PDF] Top 20 On positive solutions for a class of infinite semipositone problems

... In recent years, there has been considerable progress on the study of semipositione problems (F (0) < 0 but finite)(see [2],[3],[6]). Many results have been obtained on kind of infinite ... See full document

... In this paper, we consider a class of fractional differential equations with infinite-point boundary value conditions. Under some conditions concerning the spectral radius with respect to the relevant linear ... See full document

... where 1 < ν ≤ 2, 1 < η < e, F : [1, e] × (– ∞ , + ∞ ) → (– ∞ , + ∞ ) is a multivalued map, (– ∞ , + ∞ ) denotes the set constituted by all nonempty subsets of (– ∞ , + ∞ ). By applying usual fixed point theorems ... See full document

... eigenvalue problems with semipositone structure has been documented to be mathematically challenging (see [, ]), yet a rich history is devel- oping starting from the s (see [–]) until recently (see ... See full document

... the density of a population subject to spreading. If γ = , then we get the well-known Carrier equation. The fact that (.) appears in some applied mathematics attracts a lot of attention. With the aid of the ... See full document

... only prove in Theorem . that there exist multiple positive solutions for (.)-(.), and by virtue of [], under appropriate conditions of the nonlinearity f , we also obtain the exact multiplicity of ... See full document

... broader class of nonlinear boundary value problems in a general Banach ...the problems are called semipositone problems, which occur in chemical rector theory, combustion and management ... See full document

... a positive solution for every a > . Also, all positive solutions are bounded above by ...every positive solution of () approaches ...of positive solutions bifurcating from ... See full document

... continuous semipositone problems have been widely studied by many authors, see ...semipositone problems. One can refer to 16–18. In these papers, semipositone discrete boundary value ... See full document

... of positive so- lutions for a class of fractional integro-differential equations involving the Caputo deriva- tive of order α (n –  < α ≤ n, n ≥ ), the explicit cases, including measurable or continuous ... See full document

... In this paper, we study the existence of positive solutions for a class of third-order three-point boundary value problem. By employing the fixed point theorem on cone, some new criteria to ensure ... See full document

... value problems and singular semipositone differential systems becomes an important area of investigation because of its wide applicability in control, electrical engineering, physics, chemistry fields, and so ... See full document

... Then problem 1.1 has a positive solution u with ut > 0 for t ∈ 0, 2π and r/ρ < u ω < R/ρ. The rest of this paper is organized as follows. In Section 2, some preliminary results will be given. In Section ... See full document

... The fourth-order boundary value problems of ordinary value problems have important application in various branches of pure and applied science. As in entrepreneurial network evolution studies, the research ... See full document

... Such problems are usually referred in the literature as semipositone ...nonpositone problems, in contrast with the terminology positone problems, coined by Keller and Cohen in 2, when the ... See full document

... above mentioned literature, we investigate the existence of positive solutions to the infinite system (1.1). Our considerations will be placed in the Banach space c consisting of all con- vergent sequences ... See full document

... multiple positive solutions for a system of nonlinear fractional order infinite-point boundary value prob- ...one positive solution. We also prove that the boundary value problems has ... See full document

... a positive solution of (S)-(BC), which completes the proof of Theorem .. In a similar manner as we proved Theorem ., we obtain the following theorems. Theorem . Assume that λ = μ, and (H), (H), and (H) ... See full document

... of positive solutions of ...years, problems involving Kirchhoff type operators have been studied in many papers; we re- fer to [1, 2, 3, 5, 6, 8, 10, 17, 23, 24] in which the authors have used ... See full document

... α and β, respectively, the integrals from (BC) are Riemann-Stieltjes integrals and f , g are sign-changing continuous functions (that is, we have a so-called system of semipositone boundary value problems). ... See full document