[PDF] Top 20 Positive Solutions of Singular Complementary Lidstone Boundary Value Problems

... regular complementary Lidstone ...these problems is reduced to the existence of a fixed point of an operator ...of solutions to auxiliary problems are also investigated ...a ... See full document

... the boundary conditions u(0) = u (0) = u (0) = 0 and u (1) – α u ( η ) = λ ...one positive solution to the ...be singular at t = 0 and t = ... 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

... many problems in optimal control system, neural network (for example in BAM neural network) and information systems for computational science and engineering (espe- cially in Internet-based computing) can be ... See full document

... years, singular boundary value problems to second ordinary differential equations have been studied extensively (see ...the positive solutions for second order singular ... See full document

... equations boundary value problems (FBVP) by the use of techniques of nonlinear analysis; see [1–24] and the references ...cal boundary value problems of fractional differential ... See full document

... infinite-point boundary value conditions are considered in this ...multiple positive solutions for BVP (). As to multiple positive solutions, it is worth pointing out that ... See full document

... Motivated by above works, under various appropriate assumptions on p , q and K t ( ) , we will obtain the existence and uniqueness of positive solution of problem (1.1) for λ in different circumstances. In our ... See full document

... of singular nonlinearity can be seen in 8, 21, ...lower solutions method for the existence of positive solutions of the following coupled system of ... See full document

... one positive solution to the BVP ...of positive solutions for nonlocal boundary-value prob- lems ...is positive, we can find some results on the existence of positive ... 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

... Note that this problem was considered in 6 where the authors proved the existence of one positive solution for 1.1 by using Krasnoselskii’s fixed point theorem and nonlinear alternative of Leray-Schauder type in a ... See full document

... smooth positive solutions to the second-order singular m-point boundary value problem ...smooth positive solutions is given by constructing lower and upper ... See full document

... symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations,” Proceedings of the American Mathematical Society, ... See full document

... of positive solutions for boundary value problems (BVPs) with integral boundary conditions, see [4, 5, 9, 10, 11, 12, 15, 20, 21, ...of positive solutions of the ... See full document

... a positive solution of (1.1). By a positive solu- tion y of ...the boundary value problem (1.1) has a positive solution y, then l is called an eigenvalue and y is a corresponding ... See full document

... on Lidstone interpolation and boundary value ...the Lidstone interpolation was first introduced by Lidstone [] in  and further char- acterized in the work of ...on Lidstone ... See full document

... specific singular equation on [0, ∞ ) is considered where f(t, x, z) is monotone in z and this special feature of the equation is used in establishing the existence of ...a positive constant and so does not ... See full document

... Integral boundary conditions and multi-point boundary conditions for differential equations come from many areas of applied mathematics and physics ...gular boundary value problems have ... See full document

... for singular and nonsingular case, one can refer to ...the positive solutions and the multiple positive solutions for singular and nonsingular system of nonlinear fourth-order ... See full document