Results 121 to 130 of about 7,152,101 (256)

Exponential stability of solutions of nonlinear fractionally perturbed ordinary differential equations

Electronic Journal of Differential Equations, 2017
The main aim of this paper is to prove a theorem on the exponential stability of the zero solution of a class of integro-differential equations, whose right-hand sides involve the Riemann-Liouville fractional integrals of different orders and we ...
Eva Brestovanska, Milan Medved
doaj  

A Note on Fractional Equations of Volterra Type with Nonlocal Boundary Condition

Abstract and Applied Analysis, 2013
We deal with nonlocal boundary value problems of fractional equations of Volterra type involving Riemann-Liouville derivative. Firstly, by defining a weighted norm and using the Banach fixed point theorem, we show the existence and uniqueness of ...
Zhenhai Liu, Rui Wang
doaj   +1 more source

A Liouville-type theorem for cooperative parabolic systems

, 2017
We prove Liouville-type theorem for semilinear parabolic system of the form \begin{document}$u_t-\Delta u =a_{11}u^{p}+a_{12} u^rv^{s+1}$\end{document} , \begin{document}$v_t-\Delta v =a_{21} u^{r+1}v^{s}+a_{22}v^{p}$\end{document} where \begin{document}$
A. Duong, Quốc Hùng Phan
semanticscholar   +1 more source

Symmetry algebras of Lagrangian Liouville-type systems [PDF]

, 2010
We calculate the generators and commutation relations explicitly for higher symmetry algebras of a class of hyperbolic Lagrangian systems of Liouville type, in particular, for two-dimensional Toda chains associated with semisimple complex Lie ...
van de Leur, J.W., Sub Algebra,Geometry&Mathem. Logic begr., Algebra & Geometry and Mathematical Locic, Van De Leur, Johan W, Kiselev, A.V., van de Leur, Johan W., Kiselev, Arthemy V, van de Leur, J., Kiselev, Arthemy V., Kiselev, A.   +9 more
core   +2 more sources

Uniqueness of solutions to singular Liouville-type equations

, 2018
We deduce new uniqueness results for solutions to singular Liouville-type equations both on spheres and on bounded domains, as well as new self-contained proofs of previously known results.
Jevnikar, Aleks
core   +1 more source

Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator

Advances in Difference Equations, 2018
In this article, by using nonlinear Leray–Schauder-type alternative and Banach’s fixed point theorem, we investigate existence and uniqueness of solutions.
Hasib Khan, Wen Chen, Aziz Khan, Tahir S. Khan, Qasem M. Al-Madlal   +4 more
doaj   +1 more source

Existence of solutions for a system of mixed fractional differential equations

Journal of Taibah University for Science, 2018
The aim of this work is to investigate, by the help of Krasnoselskii's fixed point theorem, the existence of solutions for a system of fractional differential equations involving left and right Riemann–Liouville fractional derivatives.
A. Guezane-Lakoud, S. Ramdane
doaj   +1 more source

On Hochstadt-Lieberman Theorem For Sturm-Liouville Operators

, 2011
The inverse spectral problem of the Sturm-Liouville operator Lq = -d2/dx2 +q(x) is considered, where q(x) is an integrable function on (0,1).
Shieh, Chung-tsun; Buterin, S. A.; Ignatiev, Mikhail, Shieh, Chung-tsun   +1 more
core  

A Refined Approach for Non-Negative Entire Solutions of Δ u + up = 0 with Subcritical Sobolev Growth

Advanced Nonlinear Studies, 2017
Let N≥2{N\geq 2} and ...
Villavert John
doaj   +1 more source

A Liouville type theorem to an extension problem relating to the Heisenberg group

, 2018
We establish a Liouville type theorem for nonnegative cylindrical solutions to the extension problem corresponding to a fractional CR covariant equation on the Heisenberg group by using the generalized CR inversion and the moving plane method.
Xin-jing Wang, P. Niu, Xuewei Cui
semanticscholar   +1 more source