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In this work, we investigate the existence of positive solutions for a multi-point boundary value problem for a second order delay differential equation. Under certain growth conditions on the nonlinearity, and by the mean of Leray-Schauder…

Analysis of PDEs · Mathematics 2018-01-09 Abdelkader Lakmeche , Horiya Habbaze , Ahmed Lakmeche

In this paper we study the existence of solutions for nonlinear boundary value problems ({\phi}(u' ))' = f(t,u,u'), l(u,u')=0 where l(u,u') =0 denotes the Dirichlet or mixed conditions on [0, T], {\phi} is a bounded, singular or classic…

Classical Analysis and ODEs · Mathematics 2016-06-07 Dionicio Pastor Dallos Santos

In this paper, we consider a class of nonlinear fractional differential equations involving Hilfer derivative with boundary conditions. First, we obtain an equivalent integral for the given boundary value problem in weighted space of…

General Mathematics · Mathematics 2019-10-01 Mohammed S Abdo , S K Panchal , Sandeep P Bhairat

This paper presents some sufficient conditions for the existence of solutions of fractional differential equation with nonlocal multi-point boundary conditions involving Caputo fractional derivative and integral boundary conditions. Our…

Classical Analysis and ODEs · Mathematics 2018-11-28 Faouzi Haddouchi

In this short note, we present some new existence results for a nonlinear fourth-order two-point boundary value problem with integral condition. The existence results are obtained by using the Leray-Schauder fixed point theorem. Our work…

Classical Analysis and ODEs · Mathematics 2017-11-21 Faouzi Haddouchi

In this article we study the existence, continuation and bifurcation from infinity of nonconstant solutions for a nonlinear Neumann problem. We apply the Leray-Schauder degree and the degree for SO(2)-equivariant gradient operators defined…

Analysis of PDEs · Mathematics 2007-05-23 K. Muchewicz , S. Rybicki

This paper is devoted to prove the existence of one or multiple solutions of a wide range of nonlinear differential boundary value problems. To this end, we obtain some new fixed point theorems for a class of integral operators. We follow…

Classical Analysis and ODEs · Mathematics 2017-03-28 Alberto Cabada , Lorena Saavedra

This paper presents a new technique to investigate the existence of solutions to fractional three-point boundary value problems at resonance in a Hilbert space. Based on the proposed method, the restricted conditions…

Classical Analysis and ODEs · Mathematics 2017-05-23 Bin-Bin He

The class of problems treated here are elliptic partial differential equations with a homogeneous boundary condition and a non-linear perturbation obtained by composition with a fixed smooth function. The existence of solutions is obtained…

Analysis of PDEs · Mathematics 2017-04-24 Jon Johnsen , Thomas Runst

In this paper we consider a class of boundary value problems for third order nonlinear functional differential equation. By the reduction of the problem to operator equation we establish the existence and uniqueness of solution and…

Numerical Analysis · Mathematics 2021-01-26 Dang Quang A , Dang Quang Long

This paper investigates the existence of positive solutions for m-point p-Laplacian fractional boundary value problem involving Riemann Liouville fractional integral boundary conditions on the half line via the Leray-Schauder Nonlinear…

Classical Analysis and ODEs · Mathematics 2021-06-01 Dondu Oz , Ilkay Yaslan Karaca

In this paper, we study the existence of solutions to a type of super-Liouville equation on the compact Riemannian surface $M$ with boundary and with its Euler characteristic $\chi(M)<0$. The boundary condition couples a Neumann condition…

Analysis of PDEs · Mathematics 2024-11-12 Mingyang Han , Ruijun Wu , Chunqin Zhou

Using Leray-Schauder degree theory we study the existence of at least one solution for the boundary value problem of the type (\varphi(u' ))' = f(t,u,u'), u'(0)=u(0), u'(T)= bu'(0), where \varphi is a homeomorphism such that \varphi(0)=0, f…

Classical Analysis and ODEs · Mathematics 2016-06-03 Dionicio Pastor Dallos Santos

The paper deals with second order parabolic equations on bounded domains with Dirichlet conditions in arbitrary Euclidean spaces. Their interest comes from being models for describing reaction-diffusion processes in several frameworks. A…

Analysis of PDEs · Mathematics 2018-09-10 Irene Benedetti , Luisa Malaguti , Valentina Taddei

We prove an existence result for solutions to a class of nonlinear degenerate-elliptic equations with measurable coefficients and zero Dirichlet boundary condition. The main term is given by a nonlinear operator in divergence form…

Analysis of PDEs · Mathematics 2025-09-19 Marco Picerni

In this paper, existence and localization results of $C^1$-solutions to elliptic Dirichlet boundary value problems are established. The approach is based on the nonlinear alternative of Leray-Schauder.

Analysis of PDEs · Mathematics 2008-05-02 Quoc Anh Ngo

The purpose of the present work is to study the existence of solutions to initial value problems for nonlinear first order differential systems with nonlinear nonlocal boundary conditions of functional type. The existence results are…

Classical Analysis and ODEs · Mathematics 2021-02-09 Octavia Bolojan-Nica , Gennaro Infante , Radu Precup

In this article, firstly we develop a method for a type of difference equations, applicable to solve approximately a class of first order ordinary differential equation systems. In a second step, we apply the results obtained to solve a…

Numerical Analysis · Mathematics 2017-12-12 Fabio Botelho

In this paper, we focus on the existence and uniqueness of solutions of boundary value problems for a coupled system of fractional differential equations with four-point boundary conditions involving $\psi$-Caputo fractional derivatives.…

Classical Analysis and ODEs · Mathematics 2020-07-21 Mohamed I. Abbas

We consider prescribed mean curvature equations whose solutions are minimal surfaces, constant mean curvature surfaces, or capillary surfaces. We consider both Dirichlet boundary conditions for Plateau problems and nonlinear Neumann…

Numerical Analysis · Mathematics 2024-06-11 Jonas Haug , Rachel Jewell , Ray Treinen
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