共查询到20条相似文献,搜索用时 15 毫秒
1.
Johnny Henderson 《Journal of Difference Equations and Applications》2013,19(4):690-699
We study the existence and non-existence of positive solutions for a system of nonlinear second-order difference equations subject to multi-point boundary conditions. The proof of the existence of positive solutions is based upon the Schauder fixed point theorem. 相似文献
2.
Johnny Henderson 《Journal of Difference Equations and Applications》2013,19(3):418-438
We investigate the existence and multiplicity of positive solutions for a system of nonlinear second-order difference equations with multi-point boundary conditions. 相似文献
3.
Johnny Henderson 《Journal of Difference Equations and Applications》2013,19(9):1575-1592
We present some results for positive solutions of a system of nonlinear second-order difference equations, subject to multi-point boundary conditions. 相似文献
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Positive solutions for a system of difference equations with coupled multi-point boundary conditions
Johnny Henderson 《Journal of Difference Equations and Applications》2016,22(2):188-216
We investigate the existence and nonexistence of positive solutions for a system of nonlinear second-order difference equations with parameters subject to coupled multi-point boundary conditions. 相似文献
6.
Johnny Henderson 《Journal of Difference Equations and Applications》2019,25(4):516-541
We study the existence of positive solutions for a system of nonlinear second-order difference equations with parameters and sign-changing nonlinearities, subject to multi-point coupled boundary conditions. In the proof of our main theorems we use the nonlinear alternative of Leray-Schauder type and the Guo-Krasnosel'skii fixed point theorem. 相似文献
7.
Positive solutions for a nonlinear discrete fractional boundary value problem with a $p$-Laplacian operator 下载免费PDF全文
Wei Cheng Jiafa Xu Donal O Regan Donal O''Regan Yujun Cui 《Journal of Applied Analysis & Computation》2019,9(5):1959-1972
In this paper using the monotone iterative technique we establish the existence and uniqueness of positive solutions for a nonlinear discrete fractional boundary value problem with a $p$-Laplacian operator. Also we discuss an iterative sequence which yields the approximate solution for this problem. 相似文献
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We consider a nonlinear eigenvalue problem for the Dirichlet -Laplacian with a sign-changing Carathodory reaction. Using variational tools, truncation and comparison techniques, and critical groups, we prove an existence and multiplicity result which is global in the parameter (bifurcation-type theorem). Our work here complements the recent one by Papageorgiou–Qin–Rădulescu, Bull. Sci. Math. 172 (2021). 相似文献
10.
Johnny Henderson 《Applied mathematics and computation》2012,218(10):6083-6094
In this paper, we present some results for positive solutions of a system of nonlinear second-order ordinary differential equations subject to multi-point boundary conditions. 相似文献
11.
Pasquale Candito Giuseppina D'Aguì 《Journal of Mathematical Analysis and Applications》2011,375(2):594-601
Using critical point theory, we study the existence of at least three solutions for a perturbed nonlinear Dirichlet boundary value problem for difference equations depending on two positive parameters. 相似文献
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Existence and multiplicity of positive solutions for a system of difference equations with coupled boundary conditions 下载免费PDF全文
We study the existence and multiplicity of positive solutions for a system of nonlinear second-order difference equations subject to coupled multi-point boundary conditions. 相似文献
14.
In this work a nonlinear eigenvalue problem for a nonlinear autonomous ordinary differential equation of the second order is considered. This problem describes the process of propagation of transverse-electric electromagnetic waves along a plane dielectric waveguide with nonlinear permittivity. We demonstrate, as far as we know, a new method that allows one to derive an equation w.r.t. spectral parameter (the dispersion equation) which contains all necessary information about the eigenvalues. The method is based on a simple idea that the distance between zeros of a periodic solution to the differential equation is the same for the adjacent zeros. This method has no connections with the perturbation theory or the notion of a bifurcation point. Theorem of equivalence between the eigenvalue problem and the dispersion equation is proved. Periodicity of the eigenfunctions is proved, a formula for the period is found, and zeros of the eigenfunctions are determined. The formula for the distance between adjacent zeros of any eigenfunction is given. Also theorems of existence and localization of the eigenvalues are proved. 相似文献
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主要采用上下解方法,研究了一类带有奇性的二阶差分方程的两点边值问题,给出了一系列正解的存在条件. 相似文献
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J. García-Melián C. Morales-Rodrigo J. D. Rossi A. Suárez 《Annali di Matematica Pura ed Applicata》2008,187(3):459-486
In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative solutions
to the semilinear elliptic equation − Δu = λ u − u
p
in Ω, with the nonlinear boundary condition ∂u/∂ν = u
r
on ∂Ω. Here Ω is a smooth bounded domain of with outward unit normal ν, λ is a real parameter and p, r > 0. We also give the precise behavior of solutions for large |λ| in the cases where they exist. The proofs are mainly
based on bifurcation techniques, sub-supersolutions and variational methods.
相似文献
19.
Existence of eigenvalues yielding positive solutions for systems of second order discrete boundary value problems (two-point, three-point and generalized three-point) are established. The results are obtained by the use of a Guo–Krasnoselskii fixed point theorem in cones. 相似文献
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In this paper, we prove some existence results for a third order multi-point boundary value problem at resonance. Our method is based upon the coincidence degree theory of Mawhin. 相似文献