Results 41 to 50 of about 637,407 (329)

About the existence and uniqueness theorem for hyperbolic equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
In this paper we prove the existence and uniqueness theorem for almost everywhere solution of the hyperbolic equation using the method of successive approximations [1].
M. E. Khalifa
doaj   +1 more source

Existence and uniqueness of reflecting diffusions in cusps [PDF]

open access: yes, 2017
We consider stochastic differential equations with (oblique) reflection in a $2$-dimensional domain that has a cusp at the origin, i..e.
Costantini, Cristina, Kurtz, Thomas G.
core   +2 more sources

Existence Result and Uniqueness for Some Fractional Problem

open access: yesMathematics, 2019
In this article, by the use of the lower and upper solutions method, we prove the existence of a positive solution for a Riemann−Liouville fractional boundary value problem. Furthermore, the uniqueness of the positive solution is given.
Guotao Wang   +3 more
doaj   +1 more source

Existence and uniqueness for a class of nonlinear population diffusion system

open access: yesSystems Science & Control Engineering, 2017
In this paper, we introduce a class of nonlinear population diffusion system. Existence and uniqueness of strong solution are proved for stochastic age-dependent population diffusion system in Hilbert space by use of Gronwall's lemma and Burkholder–Davis–
Li Wang, Qimin Zhang
doaj   +1 more source

Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives

open access: yesAdvances in Difference Equations, 2020
In this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p-Laplace operator is studied.
Shuqi Wang, Zhanbing Bai
doaj   +1 more source

Existence and uniqueness for a crystalline mean curvature flow [PDF]

open access: yes, 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
core   +3 more sources

Solutions of fractional nabla difference equations - existence and uniqueness [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Fractional SDEs with stochastic forcing: Existence, uniqueness, and approximation

open access: yesNonlinear 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
doaj   +1 more source

Existence of weak solutions for abstract hyperbolic-parabolic equations

open access: yesInternational 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
doaj   +1 more source

Existence and uniqueness of the motion by curvature of regular networks [PDF]

open access: yesInterfaces and free boundaries (Print), 2020
We prove existence and uniqueness of the motion by curvatureof networks in $\mathbb{R}^n$ when the initial datum is of class $W^{2-\frac{2}{p}}_p$, with triple junction where the unit tangent vectors to the concurring curves form angles of $120$ degrees.
Michael Gosswein   +2 more
semanticscholar   +1 more source

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