Third-order differential equations with three-point boundary conditions
Open Mathematics, 2021 In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of positive
Cabada Alberto, Dimitrov Nikolay D.
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Open Mathematics, 2020 We examine the existence and uniqueness of solutions to two-point boundary value problems involving fourth-order, ordinary differential equations. Such problems have interesting applications to modelling the deflections of beams.
Almuthaybiri Saleh S. +1 more
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Existence and multiplicity of positive solutions of the Ginzburg-Landau boundary value problem [PDF]
, 2000 We study the existence and multiplicity of positive solutions for a boundary value problem related to the one-dimensional Ginzburg-Landau equations for superconducting films in a parallel magnetic field. (C) 2000 Elsevier Science B.V. All rights reserved.
De Coster, C +5 more
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Open Mathematics, 2022 In this article, we focus on the existence of positive solutions and establish a corresponding iterative scheme for a nonlinear fourth-order equation with indefinite weight and Neumann boundary conditions y(4)(x)+(k1+k2)y″(x)+k1k2y(x)=λh(x)f(y(x)),x∈[0,1]
Wang Jingjing, Gao Chenghua, He Xingyue
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Positive solutions for fractional differential equations with non-separated type nonlocal multi-point and multi-term integral boundary conditions [PDF]
, 2021 In this paper, we investigate a class of nonlinear fractional differential equations that contain both the multi-term fractional integral boundary condition and the multi-point boundary condition.
BENAICHA, Slimane, DJOURDEM, Habib
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Solvability of BVPs for impulsive fractional differential equations involving the Riemann-Liouvile fractional derivatives [PDF]
, 2018 In this paper, we study two classes of BVPs for impulsive fractional differential equations. Some existence results for these boundary value problems are established. Some comments on three published papers are made.
Yuji Liu, LIU, Yuji
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The Unique Solution to the Differential Equations of the Fourth Order with Non-Homogeneous Boundary Conditions [PDF]
, 2022 This research paper aims to establish the uniqueness of the solution to fourth-order nonlinear differential equations v(4)(x) + f (x,v(x)) = 0, x ε [a,b], with non-homogeneous boundary conditions where 0 ≤ a < ζ < b, the constants α, ????
Sreedhar, N. +2 more
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Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses
Open Mathematics, 2022 We are concerned with Dirichlet problems of impulsive differential equations −u″(x)−λu(x)+g(x,u(x))+∑j=1pIj(u(x))δ(x−yj)=f(x)for a.e.x∈(0,π),u(0)=u(π)=0,\left\{\begin{array}{l}-{u}^{^{\prime\prime} }\left(x)-\lambda u\left(x)+g\left(x,u\left(x))+\mathop{\
Ma Mantang, Ma Ruyun
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Existence and nonexistence of positive solutions for the second-order m-point eigenvalue impulsive boundary value problem [PDF]
, 1995 This paper is devoted to the study of the existence and nonexistence of positive solu-tions for a second-order m-point eigenvalue impulsive boundary value problem. We use the fixed point theorems on the cones in order to achieve our results.
Koca, Hüseyin +2 more
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Existence of positive solutions for a class of BVPs in Banach spaces [PDF]
, 2021 In this work, we use index fixed point theory for perturbation of expansive mappings by £-set contractions to study the existence of bounded positive solutions for a class of two-point boundary value problem (BVP) associated to second-order nonlinear ...
BENZENATI, Lyna +2 more
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