Results 41 to 50 of about 230 (58)
Effects of Time Horizons on Influence Maximization in the Voter Dynamics
, 2018 In this paper we analyze influence maximization in the voter model with an active strategic and a passive influencing party in non-stationary settings. We thus explore the dependence of optimal influence allocation on the time horizons of the strategic ...
Brede, Markus +2 more
core +1 more source
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
wiley +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
wiley +1 more source
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
wiley +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
wiley +1 more source
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
wiley +1 more source
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
On a mild solution of a semilinear functional‐differential evolution nonlocal problem
International Journal of Stochastic Analysis, Volume 10, Issue 3, Page 265-271, 1997., 1997 The existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear functional‐differential evolution equation in a general Banach space are studied. Methods of a C0 semigroup of operators and the Banach contraction theorem are applied.
Ludwik Byszewski, Haydar Akca
wiley +1 more source
On abstract differential equations with non instantaneous impulses [PDF]
, 2015 We introduce a class of abstract differential equation with non instantaneous impulses which extend and generalize some recent models considered in the literature.
Hernandez, Eduardo +2 more
core +1 more source