Results 31 to 40 of about 94 (92)

Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n‐Dimensional Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this ...
M. Nagarajan, K. Karthik, P. Chandrasekaran, Tamilarasi Mathivanan, Prasantha Bharathi Dhandapani, Taha Radwan, Valerii Obukhovskii   +6 more
wiley   +1 more source

An extension of Horn′s theorem for a space of locally integrable functions

International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 635-640, 1992., 1991
In this paper we extend the fixed point theorem of Horn′s to the space of locally integrable functions from (−∞, 0] into a Banach space X.
Hernan R. Henriquez, Eduardo A. Hernandez   +1 more
wiley   +1 more source

Functional differential equations with infinite delay in Banach spaces

International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 497-508, 1991., 1990
In this paper, a definition of the fundamental operator for the linear autonomous functional differential equation with infinite delay in a Banach space is given, and some sufficient and necessary conditions of the fundamental operator being exponentially stable in abstract phase spaces which satisfy some suitable hypotheses are obtained.
Jin Liang, Tijun Xiao
wiley   +1 more source

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 dynamics for a delayed differential neoclassical growth model with discontinuous control strategy

Open Mathematics
In this study, we are concerned with the existence and exponential stability issue of a delayed differential neoclassical growth model with discontinuous control strategy.
Wang Qian, Wang Wei, Zhan Qian
doaj   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

On the stability of a Cauchy type functional equation

Demonstratio Mathematica, 2018
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye, Najati Abbas, Park Choonkil, Rassias Themistocles M.   +3 more
doaj   +1 more source

Feedback regulation of logistic growth

, 1991
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 177-192, 1993.
K. Gopalsamy, Pei-Xuan Weng
wiley   +1 more source

Mathematical model on influence of past experiences on present activities of human brain

Computational and Mathematical Biophysics
This article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which ...
Rao P. Raja Sekhara, Ratnam K. Venkata, Shirisha G.   +2 more
doaj   +1 more source

Uniqueness of solutions and Ulam–Hyers–Mittag-Leffler stability for Hammerstein-type Hilfer delay differential equations of fractional order

Nonlinear Engineering
In this paper, we discuss the existence of a unique solution and Ulam–Hyers–Mittag-Leffler (UHML) stability for a nonlinear Hammerstein-type ψ-Hilfer delay differential equation of fractional order (ψ-HFDDE) in the configuration of several variable time ...
Tunҫ Cemil, Ahmad Bashir, Tunҫ Osman
doaj   +1 more source