Results 31 to 40 of about 226 (60)
International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
wiley +1 more source
Structured populations with distributed recruitment: from PDE to delay formulation
, 2016 In this work first we consider a physiologically structured population model with a distributed recruitment process. That is, our model allows newly recruited individuals to enter the population at all possible individual states, in principle.
Calsina, Àngel +2 more
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Semilinear Volterra integrodifferential equations with nonlocal initial conditions
Abstract and Applied Analysis, Volume 4, Issue 2, Page 127-139, 1999., 1999 We establish the global existence of mild solutions to a class of nonlocal Cauchy problems associated with semilinear Volterra integrodifferential equations in a Banach space.
Sergiu Aizicovici, Mark Mckibben
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Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
Nonautonomous Dynamical Systems, 2014 In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Baliki Abdessalam, Benchohra Mouffak
doaj +1 more source
International Journal of Differential Equations, Volume 2024, Issue 1, 2024.This paper investigates the existence and controllability of second‐order functional differential equations with infinite delay, incorporating random operators. The existence of solutions is established using the Schauder fixed point theorem, ensuring that solutions exist under specified conditions.
Srinivasan Madhumitha +5 more
wiley +1 more source
Almost periodic mild solutions of a class of partial functional differential equations
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 425-436, 1998., 1998 We study the existence of almost periodic mild solutions of a class of partial functional differential equations via semilinear almost periodic abstract functional differential equations of the form To this end, we first associate with every almost periodic semilinear equation a nonlinear semigroup in the space of almost periodic functions.
Bernd Aulbach, Nguyen Van Minh
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Stability in higher-order nonlinear fractional differential equations [PDF]
, 2018 We give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of higher-order nonlinear fractional differential equations.
Ardjouni, Abdelouaheb +2 more
core +2 more sources
Functional differential equations with nonlocal initial conditions
International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 145-156, 1997., 1996 We study the existence, uniqueness, asymptotic properties, and continuous dependence upon data of solutions to a class of abstract nonlocal Cauchy problems. The approach we use is based on the theory of m‐accretive operators and related evolution equations in Banach spaces.
Sergiu Aizicovici, Yun Gao
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Alexandria Engineering Journal, 2022 The article analyzes the existence of Caputo fractional evolution integrodifferential equations of order ...
Yong-Ki Ma +5 more
doaj
Stability of stationary and periodic solutions equations in Banach space
International Journal of Stochastic Analysis, Volume 10, Issue 3, Page 249-255, 1997., 1997 Linear difference and differential equations with operator coefficients and random stationary (periodic) input are considered. Conditions are presented for the mean stability of stationary (periodic) solutions under small perturbation of the coefficients.
A. Ya. Dorogovtsev
wiley +1 more source