Results 41 to 50 of about 1,841 (156)

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

open access: yesInternational 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   +4 more
wiley   +1 more source

Some nonlinear second order equation modelling rocket motion [PDF]

open access: yes, 2015
In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force.
Bors, Dorota, Stańczy, Robert
core  

On the solvability of third-order three point systems of differential equations with dependence on the first derivative

open access: yes, 2016
This paper presents sufficient conditions for the solvability of the third order three point boundary value problem \begin{equation*} \left\{ \begin{array}{c} -u^{\prime \prime \prime }(t)=f(t,\,v(t),\,v^{\prime }(t)) \\ -v^{\prime \prime \prime }(t)=h(t,
de Sousa, Robert, Minhós, Feliz
core   +1 more source

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

open access: yesInternational 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   +3 more
wiley   +1 more source

Bounded solutions of Carathéodory differential inclusions: a bound sets approach

open access: yesAbstract 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   +2 more
wiley   +1 more source

The structure of Gelfand-Levitan-Marchenko type equations for Delsarte transmutation operators of linear multi-dimensional differential operators and operator pencils. Part 1

open access: yes, 2004
An analog of Gelfand-Levitan-Marchenko integral equations for multi- dimensional Delsarte transmutation operators is constructed by means of studying their differential-geometric structure based on the classical Lagrange identity for a formally ...
Chern S.S.   +5 more
core   +2 more sources

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

open access: yesJournal 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   +3 more
wiley   +1 more source

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

open access: yesAbstract 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

Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces

open access: yes, 2011
Recently, Gordji et al. [Math. Comput. Model. 54, 1897-1906 (2011)] prove the coupled coincidence point theorems for nonlinear contraction mappings satisfying commutative condition in intuitionistic fuzzy normed spaces.
W. Sintunavarat, Y. Cho, Poom Kumam
semanticscholar   +1 more source

Existence of solution for third-order three-point boundary value problem

open access: yesMathematica, 2018
By imposing some conditions on the nonlinear term f , we construct a lower solution and an upper solution to prove the existence of a solution for a type of nonlinear third-order nonlocal boundary value problem. Our main tools are the upper and the lower
N. Bouteraa, S. Benaicha
semanticscholar   +1 more source

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