Existence of weak solutions for abstract hyperbolic-parabolic equations
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper we study the Existence and Uniqueness of solutions for the following Cauchy problem:A2u″(t)+A1u′(t)+A(t)u(t)+M(u(t))=f(t), t∈(0,T) (1)u(0)=u0; A2u′(0)=A212u1; where A1 and A2 are bounded linear operators in a ...
Marcondes Rodrigues Clark
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Solutions of fractional nabla difference equations - existence and uniqueness [PDF]
Opuscula Mathematica, 2016 In this article, we discuss existence, uniqueness and dependency of solutions of nonlinear fractional nabla difference equations in a Banach space equipped with a suitable norm, using the contractive mapping approach. As an application of the established
Jagan Mohan Jonnalagadda
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Existence and uniqueness for a crystalline mean curvature flow [PDF]
, 2016 An existence and uniqueness result, up to fattening, for a class of crystalline mean curvature flows with natural mobility is proved. The results are valid in any dimension and for arbitrary, possibly unbounded, initial closed sets.
Almeida +45 more
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Fractional SDEs with stochastic forcing: Existence, uniqueness, and approximation
Nonlinear Analysis, 2023 In this article, we are interested in fractional stochastic differential equations (FSDEs) with stochastic forcing, i.e., to FSDE we add a stochastic forcing term.
Kęstutis Kubilius
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Qualitative aspects of the quasistationary electromagnetic field [PDF]
Journal of Electrical and Electronics Engineering, 2009 The paper proposes some properties of theelectromagnetic field magnitudes so that theuniqueness and existence theorems may beformulated. The field equations are written asdistribution. The constitutive relation may be nonlinear.
Mircea ARION +4 more
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Mean field games with common noise [PDF]
, 2015 A theory of existence and uniqueness is developed for general stochastic differential mean field games with common noise. The concepts of strong and weak solutions are introduced in analogy with the theory of stochastic differential equations, and ...
Carmona, Rene +2 more
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Existence and Uniqueness Study of the Conformable Laplace Transform
Journal of Mathematics, 2022 This paper tackles the topic of conformable Laplace transform. The authors aim at discussing its existence by exploring and providing the kind of functions that possess a conformable Laplace transform.
Jihad Younis +4 more
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Existence and uniqueness results for a nonlinear stationary system [PDF]
, 2003 We prove a few existence results of a solution for a static system with a coupling of thermoviscoelastic type. As this system involves $L^1$ coupling terms we use the techniques of renormalized solutions for elliptic equations with $L^1$ data.
Guibé, Olivier
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Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations [PDF]
E3S Web of Conferences, 2019 Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations was proved.
Korelstein Leonid
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Generalized Thomas-Fermi equation: existence, uniqueness, and analytic approximation solutions
AIMS Mathematics, 2023 The existence and uniqueness theorem for the generalized boundary value problem of the Thomas-Fermi equation: $ \begin{eqnarray*} \left\{ \begin{array}{l} y''+f(x, y) = 0, \ 0<x <\infty, \\ y(0) = 1, \ y(\infty) = 0, \end{array} \right. \end{
Lazhar Bougoffa +2 more
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