[PDF] Top 20 On positive solutions for some second order three point boundary value problems with convection term

... fixed point theorem in a cone [5] and some inequalities of the associated Green’s function for the associated problem, the existence of positive solutions for the second-order ... See full document

... of positive solutions, and if the parameter α is regarded as a variable, then an in- teresting problem as to what happens to the global structure of positive solutions of ...of ... See full document

... In the present paper, we assume that there exist n (n ∈ N and n ≥ ) pairs of upper and lower solutions for problem (.)-(.) and the nonlinear f satisfies a Nagumo-like growth condition with respect to u . By ... See full document

... with boundary conditions are models for the deflec- tion of a curved beam having a constant or varying cross section, three-layer beams, electromagnetic waves, gravity-driven flows (see []), and therefore ... See full document

... integral boundary value problems. For integral conditions, with some so-called first eigenvalue of the re- lated linear operator, Liu et ...fixed point index ...nonlinear term and ... See full document

... introduce some definitions and a fixed-point theorem, which is the generalized form of the Leggett-Williams fixed- point theorem, founded in Avery and Henderson [6], and then we present our main ... See full document

... The pair (u, v) is a solution of problem (S)–(BC) if and only if (u, v) is a fixed point of operator Q in the space Y. So, we will investigate the existence of fixed points of opera- tor Q. Under assumptions (H1) ... See full document

... fixed point theorem of cone expansion and compression of norm type and a new method to deal with the impulsive term, we prove that the second-order singular impulsive Neumann boundary ... See full document

... nth-order three-point boundary value problem is first given, and growth conditions are imposed on nonlinearity f which yield the existence of countably many positive ... See full document

... D: Three positive solutions for multipoint one-dimensional p-Laplacian boundary value problems with dependence on the first order ...A: Second-order ... See full document

... In this article, we investigate the existence of at least three symmetric positive solutions of a second-order multi-point boundary value problem on time scales. ... See full document

... of three positive solutions to a type of three-point boundary value problems for second-order impulsive and delay differential equations, and we obtain ... See full document

... From above literature, we can see that the existence and multiplicity results are lar- gely based on the assumption that t and u are separated in nonlinearity term. It is interesting to know what will happen if t ... See full document

... article, some new sufficient conditions are obtained by making use of fixed point index theory in cone and constructing some available integral operators together with approximating ...one ... See full document

... of boundary value problems for ordinary differential equations arises in dif- ferent areas of applied mathematics, physics and so ...of positive solutions for boundary ... See full document

... multi-point boundary value prob- lems for linear and nonlinear ordinary differential equations by using various methods, such as Leray-Schauder fixed point theorem, coincidence degree theory, ... See full document

... of positive solutions to BVP ...ear boundary value problems; finally, by employing the Guo-Krasnosel’skii fixed point theorem, some sufficient conditions guaranteeing the ... See full document

... a positive parameter. The m -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and Moiseev [1] ...multi-point ... See full document

... one positive solution}, and (α ∗ , β ∗ , λ ∗ , µ ∗ ) = sup Σ = {(sup α , sup β , sup λ , sup µ )| BVP ...one positive solution}; it follows from Lemma ... See full document

... 2], boundary value problems for second- and higher-order di ff er- ential equations play a very important role in both theory and ...of solutions and positive ... See full document