Now showing items 1-10 of 84
Bounded and periodic solutions of nonlinear integro-differential equations with infinite delay
By using the concept of integrable dichotomy, the fixed point theory, functional analysis methods and some new technique of analysis, we obtain new criteria for the existence and uniqueness of bounded and periodic solutions ...
Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
(University of Szeged, 2014)
Abstract. In this work, using discontinuous almost periodic type functions, exponential dichotomy and the notion of Bi-almost automorphicity we give sufficient conditions to obtain a unique almost automorphic solution of ...
Qualitative properties of positive solutions for mixed integro-differential equations
(American Institute of Mathematical Sciences, 2019)
This paper is concerned with the qualitative properties of the solutions of mixed integro-differential equation (equation presented) with N ≥ 1, M ≥ 1 and ϵ 2 (0; 1). We study decay and symmetry properties of the solutions ...
(ω, c)-periodic functions and mild solutions to abstract fractional integro-differential equations
(University of Szeged, 2018)
© 2018, University of Szeged. All rights reserved. In this paper we study a new class of functions, which we call (ω, c)-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions. ...
NUMERICAL METHOD FOR BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS BY
(Institute of Mathematical Statistics, 2001-05)
We propose a method for numerical approximation of backward stochastic differential equations. Our method allows the final condition of the equation to be quite general and simple to implement. It relies on an approximation of ...
Almost automorphic delayed differential equations and Lasota-Wazewska model
(Southwest Missouri State University, 2017)
Existence of almost automorphic solutions for abstract delayed differential equations is established. Using ergodicity, exponential dichotomy and Bi-almost automorphicity on the homogeneous part, sufficient conditions for ...
Maximal Lp-regularity for fractional differential equations on the line
(Wiley-VCH Verlag, 2017)
© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, WeinheimWe characterize the Lp -maximal regularity of an abstract fractional differential equation with delay on the Lebesgue spaces. The method is based on the theory of operator-valued ...
Asymptotics for second order delayed differential equations
(Universidad Catolica del Norte, 2007)
In this work we present a way to find asymptotic formulas for some solutions of second order linear differential equations with a retarded functional perturbation.
Periodic solutions of an abstract third-order differential equation
Using operator valued Fourier multipliers, we characterize maximal regularity for the abstract third-order differential equation αu′″ (t)+u″ (t) = βAu(t)+γBu′(t) + f(t) with boundary conditions u(0) = u(2π), u′(0) = u′(2π) ...
Asymptotic behavior of impulsive differential equations
(Rocky Mountain Mathematics Consortium, 1996)
Based on integral inequalities and on the Banach's fixed point theorem, we study the problem of asymptotic equilibrium for impulsive differential equations at fixed times.