Results 31 to 40 of about 41 (41)

Existence and Controllability for Second‐Order Functional Differential Equations With Infinite Delay and Random Effects

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, Tharmalingam Gunasekar, Ammar Alsinai, Prabakaran Raghavendran, Read S. A. Qahtan, Elena Kaikina   +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

Stepanov-like pseudo-almost automorphic solutions of infinite class in the alpha-norm under the light of measure theory

Nonautonomous Dynamical Systems
In this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one.
Mbainadji Djendode, Ngarmadji Kossadoum, Koumla Sylvain   +2 more
doaj   +1 more source

Existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable delay

Advances in Nonlinear Analysis, 2014
In this article we study the existence of positive periodic solutions for a fourth-order nonlinear neutral differential equation with variable delay.
Ardjouni Abdelouaheb, Rezaiguia Ali, Djoudi Ahcene   +2 more
doaj   +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

Existence results for fractional integro-differential inclusions with state-dependent delay

Nonautonomous Dynamical Systems, 2017
In this paper we are concerned with a class of abstract fractional integro-differential inclusions with infinite state-dependent delay. Our approach is based on the existence of a resolvent operator for the homogeneous equation.We establish the existence
Siracusa Giovana, Henríquez Hernán R., Cuevas Claudio   +2 more
doaj   +1 more source

Existence results for fractional neutral integro-differential systems with nonlocal condition through resolvent operators

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
The manuscript is primarily concerned with the new existence results for fractional neutral integro-differential equation (FNIDE) with nonlocal conditions (NLCs) in Banach spaces.
Mallika D., Baleanu D., Suganya S., Arjunan M. Mallika   +3 more
doaj   +1 more source

Existence of positive periodic solutions for evolution equations with delay in ordered Banach spaces

Open Mathematics
The main focus of this study is to discuss the existence of positive ω\omega -periodic mild solutions for evolution equation with delay in an ordered Banach space EE. Under the ordered conditions of the growth exponent of the nonlinearity gg with respect
Zhang Jing, Gou Haide
doaj   +1 more source