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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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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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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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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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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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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... -
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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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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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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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...
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On Abstract Third-Order Differential Equation and Its Applications
In this paper, we consider an abstract third-order differential equation and deduce some results on the maximal regularity of its strict solution. We...