A class of multi-point boundary value problems are studied.Easily verified suffcient conditions to guarantee the existence of at least one solutions of above mentioned BVPs are established.The examples are presented to illustrate the main results. 相似文献
In this paper,the author studies the boundary value problems for a p-Laplacian functional difference equation.By using a fixed point theorem in cones,sufficient conditions are established for the existence of the positive solutions. 相似文献
In this paper, we provide suitable conditions on the function f(t, u1, …, un−1) such that the higher-order generalized p-Laplacian boundary value problem has at least one positive solution.Moreover, we shall apply this result to establish several existence theorems which guarantee the multiple positive solutions. 相似文献
In this paper, we will use the variational method and limiting approach to solve the minimization problems of the Dirichlet/Neumann eigenvalues of the one-dimensional p-Laplacian when the L1 norm of integrable potentials is given. Combining with the results for the corresponding maximization problems, we have obtained the explicit results for these eigenvalues. 相似文献
In this paper we investigate the existence of three positive solutions for delay differential equation boundary value problem with p-Laplacian on infinite interval. By using the fixed point theorem in a cone introduced by Avery and Petereson, the existence of at least three positive solutions is obtained under suitable growth conditions imposed on the nonlinear term. As an application, one example is given to demonstrate our main result. To some extend, our paper complements and generalize the known results. 相似文献
Motivated by extremal problems of weighted Dirichlet or Neumann eigenvalues, we will establish two fundamental results on the dependence of weighted eigenvalues of the one-dimensional p-Laplacian on indefinite integrable weights. One is the continuous differentiability of eigenvalues in weights in the Lebesgue spaces Lγ with the usual norms. Another is the continuity of eigenvalues in weights with respect to the weak topologies in Lγ spaces. Here 1 ≤ γ ≤ ∞. In doing so, we will give a simpler explanation to the corresponding spectrum problems, with the help of several typical techniques in nonlinear analysis such as the Fréchet derivative and weak* convergence. 相似文献