Results 71 to 80 of about 554 (129)

Unique Continuation for Stochastic Parabolic Equations [PDF]

arXiv, 2006
This paper is devoted to a study of the unique continuation property for stochastic parabolic equations. Due to the adapted nature of solutions in the stochastic situation, classical approaches to treat the the unique continuation problem for deterministic equations do not work.
arxiv  

Existence and uniqueness of a class of uncertain Liouville-Caputo fractional difference equations

Journal of King Saud University: Science, 2021
We consider a class of uncertain fractional difference equation of the Liouville-Caputo type (UFLCDE). An equivalent uncertain fractional sum equation is found to the UFLCDE by using the basic properties.
Hari Mohan Srivastava, Pshtiwan Othman Mohammed, Cheon Seoung Ryoo, Y.S. Hamed   +3 more
doaj  

The Cauchy problem for a short-wave equation [PDF]

Electron. J. Diff. Eqns., Vol. 2009(2009), No. 08, pp. 1-9., 2008
We prove an existence and uniqueness of solution for the Cauchy problem of the simplest nonlinear short-wave equation, $u_{tx}=u-3u^{2}$, with periodic boundary condition.
arxiv  

Positivity and contractivity in the dynamics of clusters’ splitting with derivative of fractional order

Open Mathematics, 2015
Classical models of clusters’ fission have failed to fully explain strange phenomenons like the phenomenon of shattering (Ziff et al., 1987) and the sudden appearance of infinitely many particles in some systems with initial finite particles number ...
Goufo Emile Franc Doungmo, Mugisha Stella   +1 more
doaj   +1 more source

Dynamics of quasiconformal fields [PDF]

J. Dynam. Differential Equations 23 (2011), no. 1, 185-212, 2008
A uniqueness theorem is established for autonomous systems of ODEs, $\dot{x}=f(x)$, where $f$ is a Sobolev vector field with additional geometric structure, such as delta-monoticity or reduced quasiconformality. Specifically, through every non-critical point of $f$ there passes a unique integral curve.
arxiv  

On a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions by using three operators

Alexandria Engineering Journal, 2020
We investigate the existence of solutions for a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions.
D. Baleanu, S. Etemad, Sh. Rezapour
doaj  

Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional integral conditions.
Ahmad Bashir, Ntouyas Sotiris K.
doaj   +1 more source

A Nagumo-like uniqueness result for a second order ODE [PDF]

arXiv, 2011
In this note, we present an extension to second order nonlinear ordinary differential equations (ODEs) of the Nagumo-like uniqueness criterion for first order ODEs established in [A. Constantin, On Nagumo's theorem, Proc. Japan Acad. 86(A) (2010), pp. 41--44].
arxiv  

Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings

Moroccan Journal of Pure and Applied Analysis, 2018
The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
doaj   +1 more source

On the Nagumo uniqueness theorem [PDF]

arXiv, 2011
By a convenient reparametrisation of the integral curves of a nonlinear ordinary differential equation (ODE), we are able to improve the conclusions of the recent contribution [A. Constantin, Proc. Japan Acad. {\bf 86(A)} (2010), 41--44]. In this way, we establish a flexible uniqueness criterion for ODEs without Lipschitz-like nonlinearities.
arxiv