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Bounded and periodic solutions of nonlinear integro-differential equations with infinite delay
(2009)
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 ...
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 ...
Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions
(PERGAMON-ELSEVIER SCIENCE LTD, 2012-02)
The main objective of this paper is to provide new explicit criteria to characterize weak lower semicontinuous Lyapunov pairs or functions associated to first-order differential inclusions in Hilbert spaces. These inclusions ...
(ω, c)-periodic functions and mild solutions to abstract fractional integro-differential equations
(Univ Szeged, 2018)
In this paper we study a new class of functions, which we call (omega, c)-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions. We prove that the set conformed by these functions ...
Periodic solutions of an abstract third-order differential equation
(2013)
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) ...
Maximal L-p-regularity for fractional differential equations on the line
(Wiley, 2017)
We characterize the L-p-maximal regularity of an abstract fractional differential equation with delay on the Lebesgue spaces. The method is based on the theory of operator-valued Fourier multipliers and weighted Sobolev ...
Endogenous differential information
(Springer, 2017)
We include endogenous differential information in a model with sequential trade and incomplete financial participation. Agents update information through market signals given by commodity prices and asset deliveries. ...
Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators
(Springer, 2020)
We give new criteria for weak and strong invariant closed sets for differential inclusions in Double-struck capital Rn, and which are simultaneously governed by Lipschitz Cusco mapping and by maximal monotone operators. ...
A Grobman-Hartman theorem for differential equations with piecewise constant arguments of mixed type
(European Mathematical SOC, 2018)
We obtain sufficient conditions for the existence of a uniformly and Holder continuous homeomorphism between the solutions of a linear differential system with piecewise constant argument of generalized type and the solutions ...
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 ...