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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 ...
Poincare's problem in the class of almost periodic type functions
(Belgian Mathematical Soc Triomphe, 2015)
We consider the Poincare's classical problem of approximation for second order linear
differential equations in the class of almost periodic type functions. We obtain an explicit form
for solutions of these equations by ...
(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 ...
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 ...
Identifiability and Stability of an Inverse Problem Involving a Fredholm Equation
(Shanghai Scientific Technology Literature, 2015)
The authors study a linear inverse problem with a biological interpretation, which is modelled by a Fredholm integral equation of the first kind, where the kernel is represented by step functions. Based on different ...
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 ...
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 ...
Wright type delay differential equations with negative schwarzian
(2003)
We prove that the well-known 3/2 stability condition established for the Wright equation (WE) still holds if the nonlinearity p(exp(-x)-1) in WE is replaced by a decreasing or unimodal smooth function f with f'(0) < 0 ...