Results 131 to 140 of about 646,050 (293)

Liouville type theorems involving fractional order systems

Advanced Nonlinear Studies
In this paper, let α be any real number between 0 and 2, we study the following semi-linear elliptic system involving the fractional Laplacian: (−Δ)α/2u(x)=f(u(x),v(x)),x∈Rn,(−Δ)α/2v(x)=g(u(x),v(x)),x∈Rn. $\begin{cases}{\left(-{\Delta}\right)}^{\alpha /2}
Liao Qiuping, Liu Zhao, Wang Xinyue
doaj   +1 more source

A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

Advances in Difference Equations, 2009
We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative.
Ravi P. Agarwal, Mohammed Belmekki, Mouffak Benchohra   +2 more
doaj   +1 more source

Fredholm, Hodge and Liouville theorems on noncompact manifolds [PDF]

, 1987
Robert Lockhart
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Existence of positive solutions for fractional differential equations with Riemann-Liouville left-hand and right-hand fractional derivatives

Electronic Journal of Differential Equations, 2004
Combining properties of Riemann-Liouville fractional calculus and fixed point theorems, we obtain three existence results of one positive solution and of multiple positive solutions for initial value problems with fractional differential equations.
Shuqin Zhang
doaj  

Existence and uniqueness theorems for a fourth order boundary value problem of Sturm-Liouville type [PDF]

, 1991
Chaitan P. Gupta
openalex   +1 more source

Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations

Abstract and Applied Analysis, 2013
We study the nonlinear -difference equations of fractional order , , , , , where is the fractional -derivative of the Riemann-Liouville type of order , , , , and .
Changlong Yu, Jufang Wang
doaj   +1 more source

Liouville theorems for nonlinear parabolic equations of second order [PDF]

, 1996
G. N. Hile, Christopher Mawata
openalex   +1 more source

Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces [PDF]

Annales de l'Institut Henri Poincare. Analyse non linéar, 2018
D. Chamorro, Oscar Jarŕın, P. Lemari'e-Rieusset   +2 more
semanticscholar   +1 more source

Positive solutions for a class of singular boundary-value problems

Electronic Journal of Differential Equations, 2006
This paper concerns the existence and multiplicity of positive solutions for Sturm-Liouville boundary-value problems. We use fixed point theorems and the sub-super solutions method to two solutions to the problem studied.
Dang Dinh Hai
doaj  

Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse

Abstract and Applied Analysis, 2013
In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered.
Rauf Kh. Amırov, A. Adiloglu Nabıev
doaj   +1 more source