[PDF] Top 20 Symmetric positive solutions of higher-order boundary value problems

... The organization of this paper is as follows. After this introduction, in Section , we state the assumptions and some preliminary lemmas. By applying the monotone iterative technique, we discuss the existence of ... See full document

... one positive solution for p-Laplacian fractional order BVP ...three positive solutions for the p-Laplacian fractional order BVP ...1 positive solutions for an arbitrary ... See full document

... In this 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 technique. They guarantee the ... See full document

... fractional order boundary value problems associated with p-Laplacian ...of positive solutions for third order Sturm–Liouville boundary value problems ... See full document

... all order derivatives in f and make use of two continuous convex functionals which will ensure the existence of at least one positive solution to ...of positive solutions to (1.1), we define ... See full document

... Choose αt −t, βt t and γ t t. It is easy to check that αt −t, and βt t are lower and upper solutions of BVP 3.66, 3.67 respectively, and all the assumptions in Theorem 3.2 are satisfied. Therefore by Theorem 3.2 ... See full document

... Webb, JRL, Lan, KQ: Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type.. Topolog Methods Nonlinear Anal J Ju[r] ... See full document

... The rest of the paper is organized as follows. In Section 2, we give some preliminaries and a lemma which establishes a completely continuous operator. In Section 3, Theorems 3.1 and 3.2, and results for the existence of ... See full document

... or higher-order derivatives do not have the convexity; to the best of our knowledge, no results are available for the existence of positive solutions for third- order or higher- ... 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

... the positive solutions for the singular coupled integral boundary value problem of nonlinear higher-order fractional q-difference ... See full document

... of solutions for the following singular higher-order continuous and discrete boundary value problems ...of solutions for the following singular higher-order ... 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

... i.e., (Tu)( – t) = (Tu)(t), t ∈ [, ]. Therefore, (Tu)(t) is symmetric on [, ]. So Tu ∈ P and T (P) ⊂ P. By applying the Arzela-Ascoli theorem, we can see that T(P) is relatively compact. In view of Lebesgue ... See full document

... nonlinear problems from computer science, eco- nomics, mechanical engineering, control systems, biological neural networks, and others leads to the consideration of nonlinear difference equations (see [2, 4, 21, ... See full document

... fractional order differential equations has emerged as an important area of ...of positive solutions for fractional order differential equations satisfying initial (or) boundary ... 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 existence of a ... See full document

... fourth- order di ff erential ...the positive solutions and the multiple positive solutions for singular and nonsingular system of nonlinear fourth-order boundary ... See full document

... x atx admits the maximum principle or the antimaximum principle with respect to the periodic boundary condition. By exploiting Green’s functions, eigenvalues, rotation numbers, and their estimates, he gave several ... See full document

... lower solutions to the boundary value problem should exist, but constructs the specific form of the sym- metric upper and lower ...Liouville boundary value ... See full document