Results 81 to 90 of about 49,771 (197)

Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
This paper deals with the existence and the attractivity of solutions of a class of fractional order functional Riemann-Liouville Volterra-Stieltjes partial integral equations. Our results are obtained by using Schauder's fixed point theorem.
Said Abbas, Mouffak Benchohra, Juan Nieto   +2 more
doaj   +1 more source

Liouville theorems for III-posed problems

Journal of Mathematical Analysis and Applications, 1984
The paper claims to correct an error in a paper of \textit{H. Brézis} and \textit{J. A. Goldstein} [Improp. posed Bound. Value Probl., Conf. Albuquerque 1974, 65-75 (1975; Zbl 0318.35072)], noting that this error was not picked up by the introduction given by Mathematical Reviews (M.R. 57 {\#}16883) or the review in Zentralblatt für Mathematik.
openaire   +2 more sources

Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity

, 2014
In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near ...
Attouchi, Amal
core   +1 more source

Existence and Stability of Ulam–Hyers and Generalized Ulam–Hyers for the Generalized Langevin–Sturm–Liouville Equation Involving Generalized Liouville–Caputo Type

Journal of Mathematics
This paper focuses on investigating the existence, uniqueness, and stability of Ulam–Hyers (U-H) and generalized Ulam–Hyers (G-U-H) solutions for the generalized Langevin–Sturm–Liouville equation, which involves generalized Liouville–Caputo derivatives ...
Muthaiah Subramanian, Bundit Unyong, Muath Awadalla   +2 more
doaj   +1 more source

Liouville type theorems for $\varphi$-subharmonic functions

Revista Matemática Iberoamericana, 2001
In this paper we presents some Liouville type theorems for solutions of differential inequalities involving the \varphi -Laplacian. Our results in particular improve and generalize known results for the Laplacian and the
Rigoli M., Setti A. G.
openaire   +4 more sources

A Liouville type theorem for p-Laplace equations

Electronic Journal of Differential Equations, 2015
In this note we study solutions defined on the whole space R^N for the p-Laplace equation $$ \hbox{div}(| \nabla u|^{p-2}\nabla u)+f(u)=0. $$ Under an appropriate condition on the growth of f, which is weaker than conditions previously considered ...
Cristian Enache
doaj  

Integrable nonlinear equations and Liouville's theorem, I [PDF]

Communications in Mathematical Physics, 1981
A symplectic structure is constructed and the Liouville integration carried out for a stationary Lax equation [L, P]=0, whereL is a scalar differential operator of an arbitrary order.nth order operators are included into the variety of first-order matrix operators, and properties of this inclusion are studied.
openaire   +5 more sources

Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi-point boundary condition via Caputo derivative

Advances in Difference Equations, 2019
We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj   +1 more source

Spectral analysis of q-fractional Sturm-Liouville operators

Electronic Journal of Differential Equations, 2017
In this article, we study q-fractional Sturm-Liouville operators. Using by the functional method, we pass to a new operator. Then, showing that this operator is a maximal operator and constructing a self-adjoint dilation of the maximal dissipative ...
Bilender P. Allahverdiev, Huseyin Tuna
doaj  

Multiple Solutions for a Class of Fractional Boundary Value Problems

Abstract and Applied Analysis, 2012
We study the multiplicity of solutions for the following fractional boundary value problem: where and are the left and right Riemann-Liouville fractional integrals of order , respectively, is a real number, is a given function, and is the gradient ...
Ge Bin
doaj   +1 more source