[PDF] Top 20 Sign Changing Solutions for Discrete Dirichlet Boundary Value Problem

... In this paper, our purpose is to establish some sufficient conditions for the ex- istence of solutions for (1.1). First, we will construct a functional I such that so- lutions of (1.1) correspond to critical ... See full document

... positive solutions for multi-point boundary value problems has been widely studied in recent ...n solutions and/or positive solutions to the following semiposi- tone elastic beam ... See full document

... and sign-changing weight function, which may not be integrable, we investigate the existence for the Dirichlet boundary value problems of strongly coupled vector p-Laplacian systems ... See full document

... nontrivial solutions, which means that we get two extremal constant-sign solutions and one sign-changing solution by using truncation techniques and comparison principles for nonlinear ... See full document

... The boundary layer flow caused by a continuously stretching sheet is often encountered in many engineering and industrial ...Most boundary layer models can be reduced to systems of nonlinear ordinary ... See full document

... positive solutions to the problem is Krasnosel’skii’s fixed point theorem of cone expansion/ compression type, see for example [1-4], and the references contained ... See full document

... where 2 < α ≤ 3, 0 < β ≤ 1, the nonlinearity f (t, u) may change sign on some set. By means of the monotone iterative technique, the existence of nontrivial solutions or positive so- lutions is ... See full document

... with discrete boundary value conditions have been widely studied in the literature; see, for example, [1–11] and the references ...with sign-changing nonlinearities; see ...following ... See full document

... where q ∈ C([0, 2 π ], [0, + ∞ )) with q ≡ 0, f ∈ C( R , R ), the weight h ∈ C[0, 2 π ] is a sign-changing function, λ is a parameter. We prove the existence of three positive solutions when h(t) has ... See full document

... cal boundary value problems ...of sign-changing solutions for the problems are obtained by Leray-Schauder continuation theorem and an- alytical ...our problem allows up to the ... See full document

... We shall organize the rest of this paper as follows. In Section , some basic definitions and preliminaries are given. Furthermore the eigenvalues and its algebraic multiplicities of (.) are considered. In Section , ... See full document

... positive solutions of boundary value problems for difference equations have been widely ...positive solutions for discrete boundary value problems with ... See full document

... Here, by using critical point theory again, as well as Lyapunov-Schmidt reduction method and degree theory, a sharp condition to guarantee the existence of five or six solutions together with their sign ... See full document

... The organization of this paper is as follows. In Section , we state some notations and preliminary knowledge about the topological degree theory and fixed point index theory. In Section , we present the spectrum of ... See full document

... positive solutions of discrete boundary value problems have received much attention from many authors and a great deal of work has been done by using classical methods such as fixed point ... See full document

... m-point boundary value problem on time scales such that the considered equation admits a nonlinear term f whose sign is allowed to ...discussed problem involves both an increasing ... See full document

... of solutions to equation () and decay estimates by the upper and lower so- lutions ...of solutions to the p-Laplacian equations or the doubly degenerate equations, we refer readers to [, ] and the ... See full document

... multiple solutions of discrete boundary value ...multiple solutions to the boundary value problem (BVP for short) ... See full document

...  (3.10) [4] T.-F. Wu, “Multiple Positive Solutions for Semilinear El- liptic Systems with Nonlinear Boundary Condition,” Ap- plied Mathematics and Computation, Vol. 189, No. 2, 2007, pp. 1712-1722. ... See full document

... In the case μ = 0, problem (1.1) has been studied extensively. For example, when p = 2 ∗ , Capozzi et al. [1] have shown that (1.1) has at least one positive solution for N ≥ 5. When 2 < p < 2 ∗ , the ... See full document