Results 61 to 70 of about 10,899 (224)

Existence and uniqueness of solutions for a class of fractional differential equation with lower-order derivative dependence

AIMS Mathematics
This study investigates boundary value problems for nonlinear fractional-order differential equations. The differential operator is interpreted in the Riemann-Liouville sense and is coupled with a non-linearrrrr term that involves the fractional ...
Yujun Cui, Chunyu Liang, Yumei Zou
doaj   +1 more source

On generalization of Petryshyn's fixed point theorem and its application to the product of n-nonlinear integral equations

AIMS Mathematics, 2023
Regarding the Hausdorff measure of noncompactness, we provide and demonstrate a generalization of Petryshyn's fixed point theorem in Banach algebras. Comparing this theorem to Schauder and Darbo's fixed point theorems, we can skip demonstrating closed ...
Ateq Alsaadi, Manochehr Kazemi , Mohamed M. A. Metwali   +2 more
doaj   +1 more source

Schauder's type of fixed point theorem in locally convex space [PDF]

, 2020
We introduce the concept of generalized norm in linear vector spaces which extends the classical norm. Using that generalized norm we provide a generalization of Schauder's type theorem. Next we give some applications of this theorem to find solutions of initial value problems.
Andrzej Nowakowski, Robert Plebaniak
openaire   +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

Fixed point theroms and their application - discrete Volterra applications [PDF]

, 2006
The existence of solutions of nonlinear discrete Volterra equations is established. We define discrete Volterra operators on normed spaces of infinite sequences of finite-dimensional vectors, and present some of their basic properties (continuity ...
Baker, Christopher T. H., Song, Yihong
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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

Fixed Point Analysis for Cauchy‐Type Variable‐Order Fractional Differential Equations With Finite Delay

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit, Mohammed Said Souid, Marwa Benaouda, K. Sudarmozhi, Joshua Kiddy K. Asamoah, Amar Nath Chatterjee   +5 more
wiley   +1 more source

Existence and approximate solutions of nonlinear integral equations

Journal of Inequalities and Applications, 2005
We investigate the existence of continuous solutions on compact intervals of some nonlinear integral equations. The existence of such solutions is based on some well-known fixed point theorems in Banach spaces such as Schaefer fixed point theorem ...
Karoui Abderrazek
doaj  

Positive Solutions to a System of Coupled Hadamard Fractional Boundary Value Problems

Fractal and Fractional
We explore the existence, uniqueness, and multiplicity of positive solutions to a system of Hadamard fractional differential equations that contain fractional integral terms.
Alexandru Tudorache, Rodica Luca
doaj   +1 more source

Stability results for 2D Navier-Stokes equations with unbounded delay [PDF]

, 2018
Some results related to 2D Navier-Stokes equations when the external force contains hereditary characteristics involving unbounded delays are analyzed. First, the existence and uniqueness of solutions is proved by Galerkin approximations and the energy ...
Caraballo Garrido, Tomás, Liu, Linfang, Marín Rubio, Pedro   +2 more
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