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Nonlinear Functional-Differential Equation of Neutral Type with Linear Deviation of the Argument
We obtain new properties of the solutions of a nonlinear functional-differential equation of neutral type with linear deviation of the argument...
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Functional Differential Equations
Functional differential equations are at the heart of the approach developed in the book. Elliptic and parabolic fdes are defined together with a...
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η-Stability for stochastic functional differential equation driven by time-changed Brownian motion
This manuscript focuses on a class of stochastic functional differential equations driven by time-changed Brownian motion. By utilizing the Lyapunov...
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Eberlein-Weakly Almost Periodic Solutions for Some Partial Functional Differential Equation with Infinite Delay
In this work, we prove some new results concerning the class of Eberlein weakly almost periodic functions in Stepanov’s sense. We prove that if the...
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Variational inference in neural functional prior using normalizing flows: application to differential equation and operator learning problems
Physics-informed deep learning has recently emerged as an effective tool for leveraging both observational data and available physical laws....
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Stochastic stability of solutions for a fourth-order stochastic differential equation with constant delay
In this paper, we present sufficient conditions to ensure the stochastic asymptotic stability of the zero solution for a specific type of...
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Functional delay random semilinear differential equations
In this paper, we study the existence of integral solutions of a functional differential equation with delay and random effects. We base our...
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Vallée-Poussin theorem for fractional functional differential equations with integral boundary condition
This research paper focuses on the study of a Riemann-Liouville fractional functional differential equation and a linear continuous operator acting...
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Naimark Problem for a Fractional Ordinary Differential Equation
AbstractFor a fractional ordinary differential equation, we consider a problem where the boundary conditions are given in the form of linear...
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On a Class of Elliptic Functional–Differential Equations with Orthotropic Contractions–Expansions
AbstractThe paper is devoted to the study of an elliptic-type functional differential equation containing the contraction transformation of the...
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Functional-Differential Games with Nonatomic Difference Operator
We study a differential pursuit game in a system dynamically described by a linear functional differential equation. The coefficients of the equation...
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On One Cauchy Problem for a Hyperbolic Differential-Difference Equation
AbstractWe provide a formulation of the Cauchy problem in a strip for a two-dimensional hyperbolic equation containing a superposition of a...
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Bounded Solutions of Functional Integro-Differential Equations Arising from Heat Conduction in Materials with Memory
In this paper, we consider recurrent behavior of bounded solutions for a functional integro-differential equation arising from heat conduction in...
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On the Solvability of Initial and Boundary Value Problems for Abstract Functional-Differential Euler–Poisson–Darboux Equations
AbstractIn a Banach space, we consider the Cauchy problem and the Dirichlet and Neumann boundary value problems for a functional-differential...
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Partial Differential Equation Models
A partial differential equation is an implicit or explicit equation involving derivatives of an unknown functions of more than one independent...
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Stability of a generalized Euler–Lagrange radical multifarious functional equation
In this paper, we introduce a new generalized version of the Euler–Lagrange functional equation, namely, generalized Euler–Lagrange radical...
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Inverse Problem for a Non-Homogeneous Integro-Differential Equation of the Hyperbolic Type
AbstractThe inverse problem of determining the solution and one-dimensional kernel of the integral term in an inhomogeneous integro-differential...
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The Aboodh Transform Techniques to Ulam Type Stability of Linear Delay Differential Equation
This paper mainly focuses on solving the Ulam–Hyers and Ulam–Hyers–JRassias stability problem of the linear delay differential equation using Aboodh...
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Existence of a Class of Doubly Perturbed Stochastic Functional Differential Equations with Poisson Jumps
In this paper, we use successive approximations and Picard iterative method to establish the existence and uniqueness of mild solution for a class of...
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Asymptotic Behavior of Solutions of a Complete Second-Order Integro-Differential Equation
In this paper, we study a complete second-order integro-differential operator equation in a Hilbert space. The difference-type kernel of an integral...