Results 31 to 40 of about 535 (71)

Optimality and existence for Lipschitz equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 267-274, 1988., 1987
Solutions of certain boundary value problems are shown to exist for the nth order differential equation y(n) = f(t, y, y′, …, y(n−1)), where f is continuous on a slab (a, b) × Rn and f satisfies a Lipschitz condition on the slab. Optimal length subintervals of (a, b) are determined, in terms of the Lipschitz coefficients, on which there exist unique ...
Johnny Henderson
wiley   +1 more source

A Higher Order Nonresonant p-Laplacian Boundary Value Problem on an Unbounded Domain

open access: yesAbstract and Applied Analysis
MSC2010 Classification: 34B10 ...
S. A. Iyase, O. F. Imaga
doaj   +1 more source

Langevin equation in terms of conformable differential operators

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential operators of different orders and equipped with integral boundary conditions.
Ahmad Bashir   +3 more
doaj   +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  

1/2-Laplacian problems with exponential nonlinearity

open access: yes, 2013
By exploiting a suitable Trudinger-Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth ...
Iannizzotto, Antonio, Squassina, Marco
core   +1 more source

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

k‐component disconjugacy for systems of ordinary differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 2, Page 373-380, 1986., 1986
Disconjugacy of the kth component of the mth order system of nth order differenttal equations Y(n) = f(x, Y, Y′, …, Y(n−1)), (1.1), is defined, where f(x, Y1, …, Yn), are continuous. Given a solution Y0(x) of (1.1), k‐component disconjugacy of the variational equation , (1.2), is also studied.
Johnny Henderson
wiley   +1 more source

The Fourier transform and convolutions generated by a differential operator with boundary condition on a segment

open access: yes, 2013
We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek   +1 more
core   +1 more source

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

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