Results 101 to 110 of about 695,650 (225)
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
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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
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Discrete Dynamics in Nature and Society, 2017 The existence and uniqueness results of two fractional Hahn difference boundary value problems are studied. The first problem is a Riemann-Liouville fractional Hahn difference boundary value problem for fractional Hahn integrodifference equations.
Nichaphat Patanarapeelert +1 more
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Extensions of Liouville theorems
Journal of Mathematical Analysis and Applications, 1982 AbstractThe method of deriving Liouville's theorem for subharmonic functions in the plane from the corresponding Hadamard three-circles theorem is extended to a more general and abstract setting. Two extensions of Liouville's theorem for vector-valued holomorphic functions of several complex variables are also mentioned.
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Electronic Journal of Differential Equations, 2016 This article concerns the existence of positive solutions for a nonlinear Neumann problem involving the m-Laplacian. The equation does not have a variational structure.
Zhe Hu, Li Wang, Peihao Zhao
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Fractional-order boundary value problem with Sturm-Liouville boundary conditions
Electronic Journal of Differential Equations, 2015 Using the new conformable fractional derivative, which differs from the Riemann-Liouville and Caputo fractional derivatives, we reformulate the second-order conjugate boundary value problem in this new setting.
Douglas R. Anderson, Richard I. Avery
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On the analytic form of the discrete Kramer sampling theorem
International Journal of Mathematics and Mathematical Sciences, 2001 The classical Kramer sampling theorem is, in the subject of self-adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm-Liouville problems.
Antonio G. García +2 more
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A view on Liouville theorems in PDEs
Analysis and Geometry in Metric SpacesAbstract Our review of Liouville theorems includes a special focus on nonlinear partial differential equations and inequalities.
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Liouville theorem and gradient estimates for nonlinear elliptic equations on Riemannian manifolds
Electronic Journal of Differential Equations, 2017 In this article we study a nonlinear elliptic equation by using the maximum principle and cutoff functions, We establish related gradient estimates, the Liouville theorem, and the Harnack inequality.
Wen Wang, Hui Zhou, Xinquan Zhang
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