Results 31 to 40 of about 226 (176)

General Decay and Blowing‐Up Solutions of a Nonlinear Wave Equation With Nonlocal in Time Damping and Infinite Memory

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9046-9057, 30 May 2025.
ABSTRACT This paper shows that long‐term stability and blowing‐up solutions for a nonlinear wave equation with a nonlocal damping of Choi and MacCamy type and a nonlocal dispersion can occur. The method of proof of general decay relies on a suitable Lyapunov functional.
Mokhtar Kirane, Radhouane Aounallah, Lotfi Jlali   +2 more
wiley   +1 more source

Milne-type inequalities for third differentiable and h-convex functions

Boundary Value Problems
This paper develops a novel Milne inequality for third-differentiable and h-convex functions using Riemann integrals. Furthermore, new Milne inequalities are proposed utilizing a summation parameter p ≥ 1 $p\geq 1$ for s-convexity, convexity, and P ...
Bouharket Benaissa, Hüseyin Budak
doaj   +1 more source

A Theory of Generalized Coordinates for Stochastic Differential Equations

Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.
ABSTRACT Stochastic differential equations are ubiquitous modeling tools in applied mathematics and the sciences. In most modeling scenarios, random fluctuations driving dynamics or motion have some nontrivial temporal correlation structure, which renders the SDE non‐Markovian; a phenomenon commonly known as ‘colored’’ noise.
Lancelot Da Costa, Nathaël Da Costa, Conor Heins, Johan Medrano, Grigorios A. Pavliotis, Thomas Parr, Ajith Anil Meera, Karl Friston   +7 more
wiley   +1 more source

A Generalized and Refined Perturbed Version of Ostrowski Type Inequalities

International Journal of Analysis and Applications, 2017
In this paper, we first obtain a new identity for twice differentiable mappings. Then, we establish generalized and improved perturbed version of Ostrowski type inequalities for functions whose derivatives are of bounded variation or second derivatives ...
M. Z. Sarikaya, H. Budak, S. Erden, A. Qayyum   +3 more
doaj   +2 more sources

On Lipschitzian operators of substitution generated by set-valued functions [PDF]

Opuscula Mathematica, 2007
We consider the Nemytskii operator, i.e., the operator of substitution, defined by \((N \phi)(x):=G(x,\phi(x))\), where \(G\) is a given multifunction. It is shown that if \(N\) maps a Hölder space \(H_{\alpha}\) into \(H_{\beta}\) and \(N\) fulfils the ...
Jakub Jan Ludew
doaj  

Banach algebras of ultrametric Lipschitzian functions

, 2018
We examine Banach algebras of bounded uniformly continuous functions and particularly Lipschitzian functions from an ultrametric space IE to a complete ultrametric field IK: prime and maximal ideals, multiplicative spectrum, Shilov boundary and topological divisors of zero. We get a new compactification of IE similar to the Banaschewski's one and which
Chicourrat, Monique, Escassut, Alain
openaire   +2 more sources

Fixed-point theorems and Morse's lemma for Lipschitzian functions

Journal of Mathematical Analysis and Applications, 1990
We prove a fixed-point theorem for set-valued mappings defined on a nonempty compact subset X of Rn which can be represented by inequality constraints, i.e., X={x in Rn| f(x) < 0}, f locally Lipschitzian and satisfying a nondegeneracy assumption outside of X.
Bonnisseau, Jean-Marc, Cornet, Bernard
openaire   +4 more sources

Variation of parameters and initial time difference Lipschitz stability of impulsive differential equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3496-3508, February 2025.
In this paper, we investigate the Lipschitz stability of a perturbed impulsive differential system concerning the unperturbed system. We employ the variation of parameters or the constant of variation for impulsive differential systems with an initial time difference.
Saliha Demirbüken, Coşkun Yakar
wiley   +1 more source

ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT

Journal of Universal Mathematics, 2020
Some new type of integral inequalities for functions from the Lipschitz class are obtained. These results involve some different types of integral averages for Lipschitzian functions. Special cases which are naturally included in the main results of the paper are also discussed.
Seda KILINÇ, Abdullah AKKURT, Hüseyin YİLDİRİM   +2 more
openaire   +3 more sources

Fractional Newton‐type integral inequalities by means of various function classes

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 1198-1215, 15 January 2025.
The authors of the paper present a method to examine some Newton‐type inequalities for various function classes using Riemann‐Liouville fractional integrals. Namely, some fractional Newton‐type inequalities are established by using convex functions.
Fatih Hezenci, Hüseyin Budak
wiley   +1 more source