Results 31 to 40 of about 437 (100)

Asymptotic for a semilinear hyperbolic equation with asymptotically vanishing damping term, convex potential, and integrable source

, 2022
We investigate the long time behavior of solutions to semilinear hyperbolic equation (E$_{\alpha}$): $ u^{\prime\prime}(t)+\gamma(t)u^{\prime}(t)+Au(t)+f(u(t))=g(t),~t\geq0, $ where $A$ is a self-adjoint nonnegative operator, $f$ a function which derives
Balti, Mounir, May, Ramzi
core  

Epidemiological models with parametric heterogeneity: Deterministic theory for closed populations [PDF]

, 2012
We present a unified mathematical approach to epidemiological models with parametric heterogeneity, i.e., to the models that describe individuals in the population as having specific parameter (trait) values that vary from one individuals to another ...
Novozhilov, Artem S.
core   +1 more source

On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems

, 2018
We obtain a new quantitative deformation lemma, and then gain a new mountain pass theorem. More precisely, the new mountain pass theorem is independent of the functional value on the boundary of the mountain, which improves the well known results (\cite ...
Ding, Liang, Wei, Jinlong, Zhang, Shiqing   +2 more
core   +1 more source

A second‐order impulsive Cauchy problem

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 8, Page 451-461, 2002., 2002
We study the existence of mild and classical solutions for an abstract second‐order impulsive Cauchy problem modeled in the form u¨(t)=A u(t)+f(t,u(t),u˙(t)),t∈(−T0,T1),t≠ti;u(0)=x0,u˙(0)=y0; △u(ti)=Ii1 (u (ti)). △u˙(ti)=Ii2 (u˙ (ti+)) where A is the infinitesimal generator of a strongly continuous cosine family of linear operators on a Banach space X ...
Eduardo Hernández Morales
wiley   +1 more source

Differential constraints and exact solutions of nonlinear diffusion equations

, 2002
The differential constraints are applied to obtain explicit solutions of nonlinear diffusion equations. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the determining equations used in
Andreev V K, Aristov S N, Clarkson P A, Dorodnitsyn V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Golubev V V, Goursat E, Igor V Verevkin, King J R, King J R, King J R, Levi D, Nariboli G A, Oleg V Kaptsov, Olver P, Olver P, Olver P J, Ovsiannikov L V, Pommaret J E, Pukhnachev V V, Schmidt A V, Schmidt A V, Whittaker E T   +24 more
core   +2 more sources

Impulsive functional‐differential equations with nonlocal conditions

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 251-256, 2002., 2002
The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional‐differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.
Haydar Akça, Abdelkader Boucherif, Valéry Covachev   +2 more
wiley   +1 more source

On second order impulsive functional differential equations in Banach spaces

International Journal of Stochastic Analysis, Volume 15, Issue 1, Page 45-52, 2002., 2002
In this paper, a fixed point theorem due to Schaefer is used to investigate the existence of solutions for second order impulsive functional differential equations in Banach spaces.
M. Benchohra, S. K. Ntouyas
wiley   +1 more source

Asymptotic stability of solutions to abstract differential equations [PDF]

, 2010
An evolution problem for abstract differential equations is studied. The typical problem is: $$\dot{u}=A(t)u+F(t,u), \quad t\geq 0; \,\, u(0)=u_0;\quad \dot{u}=\frac {du}{dt}\qquad (*)$$ Here $A(t)$ is a linear bounded operator in a Hilbert space $H ...
Ramm, A. G.
core   +4 more sources

Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n‐Dimensional Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this ...
M. Nagarajan, K. Karthik, P. Chandrasekaran, Tamilarasi Mathivanan, Prasantha Bharathi Dhandapani, Taha Radwan, Valerii Obukhovskii   +6 more
wiley   +1 more source

Existence of Solutions of a Class of Abstract Second Order Nonlinear Integrodifferential Equations

International Journal of Stochastic Analysis, Volume 15, Issue 2, Page 115-124, 2002., 2002
In this paper we prove the existence of solutions of nonlinear second order integrodifferential equations in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families of operators and the Schaefer fixed point theorem.
K. Balachandran, J. Y. Park
wiley   +1 more source