Hyers–Ulam stability of integral equations with infinite delay
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DOI: 10.1007/s00010-024-01080-2
Abstract: Integral equations with infinite delay are considered as functional equations in a Banach space. Two types of Hyers–Ulam stability criteria are established. First, it is shown that a linear autonomous equation is Hyers–Ulam stable if… read more here.
Keywords: hyers ulam; equations infinite; integral equations; ulam stability ... See more keywords
Sigmoidal Approximations of a Nonautonomous Neural Network with Infinite Delay and Heaviside Function
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09899-4
Abstract: In this paper, we approximate a nonautonomous neural network with infinite delay and a Heaviside signal function by neural networks with sigmoidal signal functions. We show that the solutions of the sigmoidal models converge to… read more here.
Keywords: nonautonomous neural; infinite delay; network infinite; neural network ... See more keywords
Asymptotic Behavior of Solutions to Semilinear Parabolic Equations with Infinite Delay
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DOI: 10.1007/s40306-018-0289-5
Abstract: We consider a class of semilinear parabolic equations with infinite delay and nonlinearity of polynomial type. We first prove the existence and uniqueness of weak solutions by using the Galerkin method. Then, we show the… read more here.
Keywords: semilinear parabolic; asymptotic behavior; infinite delay; parabolic equations ... See more keywords
Solutions of third order degenerate equations with infinite delay in Banach spaces
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DOI: 10.1007/s43037-020-00058-x
Abstract: We study the well-posedness of the third order degenerate differential equations with infinite delay$$(P_3): (Mu)'''(t) + (Lu)''(t) + (Bu)'(t)= Au(t) + \int _{-\infty }^t a(t-s)Au(s)ds + f(t){\text{ on }}[0, 2\pi ]$$in Lebesgue–Bochner spaces $$L^p(\mathbb{T};\; X)$$… read more here.
Keywords: equations infinite; order degenerate; infinite delay; third order ... See more keywords
Existence and controllability for conformable fractional stochastic differential equations with infinite delay via measures of noncompactness.
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DOI: 10.1063/5.0125651
Abstract: In this article, we consider conformable fractional stochastic differential equations (CFSDEs) driven by fBm with infinite delay via measures of noncompactness (MNC). As far as we know, there are few papers considering this issue. First,… read more here.
Keywords: controllability; stochastic differential; infinite delay; fractional stochastic ... See more keywords
Inertial manifolds for functional differential equations with infinite delay
Sign Up to like & getrecommendations! Published in 2021 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557122500450
Abstract: In this paper, we consider a class of functional differential equations with infinite delay in a real separable Hilbert space. By using the Lyapunov–Perron method, we prove the existence of inertial manifolds for mild solutions.… read more here.
Keywords: functional differential; equations infinite; infinite delay; differential equations ... See more keywords
STOCHASTIC CONTROLLABILITY FOR A NONAUTONOMOUS FRACTIONAL NEUTRAL DIFFERENTIAL EQUATION WITH INFINITE DELAY IN ABSTRACT SPACE
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DOI: 10.1216/rmj.2024.54.1383
Abstract: This paper deals with the controllability for a class of non-autonomous neutral differential equations of fractional order with infinite delay in an abstract space. The semi-group theory of bounded linear operators, fractional calculus, and stochastic… read more here.
Keywords: controllability; abstract space; infinite delay; delay abstract ... See more keywords
Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on Graphs
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DOI: 10.3390/sym14071388
Abstract: In this manuscript, some similar tripled fixed point results under certain restrictions on a b−metric space endowed with graphs are established. Furthermore, an example is provided to support our results. The obtained results extend, generalize,… read more here.
Keywords: fixed point; infinite delay; differential equations; tripled fixed ... See more keywords
Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay
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DOI: 10.35470/2226-4116-2024-13-1-5-11
Abstract: The problem of absolute stability is investigated for a switched positive Persidskii system with infinite delay. With the aid of a special construction of Lyapunov–Krasovskii functional, sufficient conditions of absolute stability are derived. These conditions… read more here.
Keywords: lyapunov krasovskii; constructing lyapunov; switched positive; krasovskii functionals ... See more keywords