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Representation of Solutions of a Certain Integro-Differential Equation and Applications
In this paper, we consider a second-order integro-differential equation with unbounded operator coefficients in a Hilbert space, which is an abstract...
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Quasi Solution of an Inverse Fractional Stochastic Nonlinear Partial Differential Equation of Parabolic Type
In this paper, the existence theorem for a quasi solution of an inverse fractional stochastic parabolic equation driven by multiplicative noise in...
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Functional-Differential Operators on Geometrical Graphs with Global Delay and Inverse Spectral Problems
We suggest a new concept of functional-differential operators with constant delay on geometrical graphs that involves global delay parameter....
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The Uniform Convergence of a DG Method for a Singularly Perturbed Volterra Integro-Differential Equation
The purpose of this work is to implement a discontinuous Galerkin (DG) method with a one-sided flux for a singularly perturbed Volterra...
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Exponential Stability and Estimates of Solutions to Systems of Functional Differential Equations
AbstractFor systems of linear autonomous delay differential equations, we develop a method for studying stability, which consists in constructing an...
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Tricomi Problem for a Differential–Difference Equation of Mixed Type with Parallel Degeneration Lines
AbstractWe study the Tricomi problem for a differential–difference equation with the Lavrent’ev–Bitsadze operator in the main part and with parallel...
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Unique Solvability of the Boundary-Value Problems for Nonlinear Fractional Functional Differential Equations
By using the Krasnoselskii theorem, we obtain general conditions for the unique solvability of boundaryvalue problems for (non)linear fractional...
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Piecewise Linear Price Function of a Differential Game with Simple Dynamics and Integral Terminal Price Functional
In this paper, we consider an antagonistic differential game of two persons with dynamics described by a differential equation with simple motions...
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Numerical Solution of Coupled Korteweg-de Vries Equation Employing Quintic Hyperbolic B-Spline Based Differential Quadrature Method
In the present paper, the differential quadrature method is functionalized to solve coupled Korteweg-de Vries equation numerically with the usage of...
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Analyzing Single and Multi-valued Nonlinear Caputo Two-Term Fractional Differential Equation With Integral Boundary Conditions
This article primarily focuses on the single-valued and multi-valued cases of the class of nonlinear Caputo two-term fractional differential equation...
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The Functional Dissipativity of Certain Systems of Partial Differential Equations
We study the functional dissipativity of the Dirichlet problem for systems of partial differential operators of the form ∂ h (
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Comparison Theorems from the Theory of Monotone Dynamical Systems for Linear Systems of Functional-Differential Equations with Linearly Transformed Argument
We find new properties of solutions to the linear systems of functional-differential equations with linearly transformed argument.
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Solution Blow-Up and Global Solvability of the Cauchy Problem for a Model Third-Order Partial Differential Equation
AbstractWe obtain conditions for the existence of a global solution and the blow-up of the solution of the Cauchy problem on a finite time interval...
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Approximate and optimal controllability of a second order non-autonomous stochastic differential equation with deviated arguments
This paper studies a second-order non-autonomous stochastic differential equation with deviated arguments and nonlocal finite delay in a Hilbert...
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Almost periodic and almost automorphic solutions for some nondensely nonautonomous linear periodic partial functional differential equations
In this work, we establish a new variation of constants formula for nonautonomous linear partial functional differential equations with linear part A ...
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Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations
This paper first investigates the equivalence of the space and translation invariance of Stepanov-like doubly weighted pseudo almost automorphic...
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Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay
In this paper, we study the existence and uniqueness of a periodic solution for a third-order neutral delay differential equation (NDDE) by applying...
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A Difference Scheme for Wave Equation
AbstractThe paper deals with a numerical solution of a wave equation. The solution algorithm uses optimal parameters which are obtained by using...
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On the behaviour of solutions to a kind of third order neutral stochastic differential equation with delay
This article demonstrates the behaviour of solutions to a kind of nonlinear third order neutral stochastic differential equations. Setting
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On the Solvability of an Initial–Boundary Value Problem for a High Even Order Partial Differential Equation Degenerating on the Domain Boundary
AbstractAn initial–boundary value problem is posed in a rectangle for a degenerate partial differential equation of high even order with a Bessel...