Results 21 to 30 of about 126 (84)

Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani, Vasu Lakshmanan, Abdul Razak Kachu Mohideen, Homan Emadifar, Patricia J. Y. Wong   +4 more
wiley   +1 more source

Nonlinear Second Order Scalar Differential Inclusion Involving a Singular Φ−Laplacian Operator, With Nonlinear General Boundary Conditions

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi, Assohoun Adjé, Konan Charles Etienne Goli, Patricia J. Y. Wong   +3 more
wiley   +1 more source

Bounded solutions of Carathéodory differential inclusions: a bound sets approach

Abstract and Applied Analysis, Volume 2003, Issue 9, Page 547-571, 2003., 2003
A bound sets technique is developed for Floquet problems of Carathéodory differential inclusions. It relies on the construction of either continuous or locally ipschitzian Lyapunov‐like bounding functions. Proceeding sequentially, the existence of bounded trajectories is then obtained. Nontrivial examples are supplied to illustrate our approach.
Jan Andres, Luisa Malaguti, Valentina Taddei   +2 more
wiley   +1 more source

Advanced Fixed Point Methods for Analyzing Coupled Caputo Q‐Fractional Boundary Value Problems With Supportive Examples

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article analyzes a complex coupled system of multipoint nonlinear boundary value problems involving Caputo‐type fractional discrete differential equations with multiple fractional q−integrals. We establish the uniqueness and existence of solutions using a rigorous approach grounded in fixed‐point theory, specifically Banach’s fixed‐point theorem ...
Hasanen A. Hammad, Saleh Fahad Aljurbua, Asamh Saleh M. Al Luhayb, Baowei Feng   +3 more
wiley   +1 more source

Asymptotic formulas and critical exponents for two‐parameter nonlinear eigenvalue problems

Abstract and Applied Analysis, Volume 2003, Issue 11, Page 671-684, 2003., 2003
We study the nonlinear two‐parameter problem −u″(x) + λu(x) q = μu(x) p, u(x) > 0, x ∈ (0, 1), u(0) = u(1) = 0. Here, 1 < q < p are constants and λ, μ > 0 are parameters. We establish precise asymptotic formulas with exact second term for variational eigencurve μ(λ) as λ → ∞.
Tetsutaro Shibata
wiley   +1 more source

Multi-term fractional differential equations with nonlocal boundary conditions

Open Mathematics, 2018
We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir, Alghamdi Najla, Alsaedi Ahmed, Ntouyas Sotiris K.   +3 more
doaj   +1 more source

Multiplicity and Uniqueness of Solution for a Class of Asymptotically Linear Fractional Differential Equation With Nonlocal Conditions

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we study a class of asymptotically linear fractional nonlocal boundary value problems depending on the fractional derivative of lower order; the nonlinear term may be sign‐changing. By using the theory of fixed point index for asymptotically linear operators and the Banach contraction mapping principle, the multiplicity and uniqueness of
You Wu, Kemei Zhang, Yongqing Wang, Xue-Jun Xie, Richard I. Avery   +4 more
wiley   +1 more source

On boundary value problems for degenerate differential inclusions in Banach spaces

Abstract and Applied Analysis, Volume 2003, Issue 13, Page 769-784, 2003., 2003
We consider the applications of the theory of condensing set‐valued maps, the theory of set‐valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space.
Valeri Obukhovskii, Pietro Zecca
wiley   +1 more source

Unbounded solutions of third order three-point boundary value problems on a half-line

Advances in Nonlinear Analysis, 2016
We consider the following third order three-point boundary value problem on a half-line: x'''(t)+q(t)f(t,x(t),x'(t),x''(t)) = 0, t ∈ (0,+∞), x'(0) = A, x(η) = B, x''(+∞) = C, where η ∈ (0,+∞), but fixed, and f : [0,+∞) × ℝ3 → ℝ satisfies Nagumo's ...
Agarwal Ravi P., Çetin Erbil
doaj   +1 more source

2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi, Antonio Masiello   +3 more
wiley   +1 more source