Results 41 to 50 of about 330 (99)
Linear neutral partial differential equations: a semigroup approach
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 23, Page 1433-1445, 2003., 2003 We study linear neutral PDEs of the form (∂/∂t)Fut = BFut + Φut, t ≥ 0; u0(t) = φ(t), t ≤ 0, where the function u(⋅) takes values in a Banach space X. Under appropriate conditions on the difference operator F and the delay operator Φ, we construct a C0‐semigroup on C0(ℝ−, X) yielding the solutions of the equation.
Rainer Nagel, Nguyen Thieu Huy
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, 2018 In this work, we establish several results about the existence and uniqueness of solutions for some neutral differential equations with state-dependent delays.
K. Daoudi, J. Henderson, A. Ouahab
semanticscholar +1 more source
Functional integro‐differential stochastic evolution equations in Hilbert space
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 141-161, 2003., 2003 We investigate a class of abstract functional integro‐differential stochastic evolution equations in a real separable Hilbert space. Global existence results concerning mild and periodic solutions are formulated under various growth and compactness conditions.
David N. Keck, Mark A. McKibben
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Boundary Value Problems, 2012 Using the Mönch fixed point theorem, this article proves the existence of mild solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions in Banach spaces.
S. Xie
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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 +2 more
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Advances in Differential Equations, 2014 Of concern is the existence of solutions for a class of boundary value problems for impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space.
Fang Li, Huiwen Wang
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International Journal of Stochastic Analysis, Volume 13, Issue 2, Page 171-179, 2000., 2000 Two theorems about the existence and uniqueness of mild and classical solutions of a semilinear functional‐differential evolution nonlocal Cauchy problem in a general Banach space are proved. Methods of semigroups and the Banach contraction theorem are applied.
Katarzyna Kolodziej
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A class of linear dynamical equations for a Banach space on time scales
Advances in Differential Equations, 2013 In this paper we consider the existence and uniqueness of global solutions to linear dynamical equations for a Banach space on time scales from a new point of view.
Youling Feng
semanticscholar +2 more sources
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
core +1 more source
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
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