Results 61 to 70 of about 775 (171)

Existence of positive solutions for a class of nonlinear fractional differential equations with boundary values

四川大学学报. 自然科学版, 2019
In this paper, by using the method of Schauder fixed point theorem and Krasnoselskii's fixed point theorem, the existence of positive solutions for the boundary value problem of a class of nonlinear fractional differential equations is obtianed.
CAI Hui-Ze, HAN Xiao-Ling
doaj  

An application of Schauder’s fixed point theorem with respect to higher order BVPs [PDF]

Proceedings of the American Mathematical Society, 1998
We shall provide conditions on the function f ( t , u
openaire   +1 more source

Strictly Positive Solutions of Neumann Boundary Value Problems and Applications to Duffing Type Models

Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1943-1956, February 2026.
ABSTRACT The existence of one or two strictly positive solutions of Neumann boundary value problems is studied in this paper where the nonlinearities are L1$$ {L}^1 $$‐Carathéodory functions, so they are not necessarily continuous. Additional weaker and better conditions than those used in previous results are posted on the nonlinearities to obtain ...
Kunquan Lan, Gustavo Cicchini Santos
wiley   +1 more source

A third-order nonlocal problem with nonlocal conditions

International Journal of Mathematics and Mathematical Sciences, 2004
We study an equation with dominated lower-order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed-point theorem, we prove the existence and uniqueness of a generalized solution.
Lazhar Bougoffa
doaj   +1 more source

A priori estimates and large population limits for some nonsymmetric Nash systems with semimonotonicity

Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.
Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley   +1 more source

Existence of Solutions to Anti-Periodic Boundary Value Problem for Nonlinear Fractional Differential Equations with Impulses

Advances in Difference Equations, 2011
This paper discusses the existence of solutions to antiperiodic boundary value problem for nonlinear impulsive fractional differential equations. By using Banach fixed point theorem, Schaefer fixed point theorem, and nonlinear alternative of Leray ...
Chen Yi, Chen Anping
doaj  

Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions

Journal of Function Spaces, 2017
Applying Schauder fixed point theorem and Leray-Schauder nonlinear alternative theory, this paper is concerned with the existence of solutions to coupled fractional differential systems with fractional integral boundary value conditions.
Tingting Qi, Yansheng Liu, Yujun Cui
doaj   +1 more source

Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak, Karsten Matthies, Jonathan Sewell, Miles H. Wheeler   +3 more
wiley   +1 more source

A Study of Caputo Sequential Fractional Differential Equations with Mixed Boundary Conditions

Universal Journal of Mathematics and Applications
In this paper, we investigate the existence of solutions for a sequential fractional differential equation involving Caputo-type derivative subject to mixed boundary conditions.
Djourdem Habib, Djamel-eddine Hettadj
doaj   +1 more source

One-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime

Mathematical Modelling and Analysis
We investigate the existence, uniqueness and multiplicity of one-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime.
Meiyu Liu, Minghe Pei, Libo Wang
doaj   +1 more source