Results 81 to 90 of about 1,067 (186)
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
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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 +4 more
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Liouville type theorems for the Euler and the Navier–Stokes equations
Advances in Mathematics, 2011 15 ...
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A Liouville-Type Theorem for Harmonic Functions on Exterior Domains
Journal of Mathematical Analysis and Applications, 2000 Liouville's classical theorem that a function harmonic in \(\mathbb{R}^2\) that is bounded below is a constant does not extend to \(\mathbb{R}^2\) punctured at the origin. Via some interesting preliminaries on convex sets in \(\mathbb{R}^2\), the authors prove that if \(K\) is a non-empty compact convex set in \(\mathbb{R}^2\) and \(f\) is a real ...
CAMMAROTO, Filippo, CHINNI', Antonia
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LIOUVILLE TYPE THEOREMS FOR TRANSVERSALLY HARMONIC AND BIHARMONIC MAPS
Journal of the Korean Mathematical Society, 2017 12 ...
Jung, Min Joo, Jung, Seoung Dal
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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
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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
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International Journal of Differential Equations, 2010 We consider the existence and uniqueness of positive solution to nonzero boundary values problem for a coupled system of fractional differential equations. The differential operator is taken in the standard Riemann-Liouville sense.
Jinhua Wang, Hongjun Xiang, Zhigang Liu
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Integral inequalities and theorems of Liouville type
Journal of Mathematical Analysis and Applications, 1969 Throughout this paper x = (x1 ,... , x,) denotes a point of real Euclidean space En, r = / x [ is the distance to the origin, and F and P > 0 are continuous functions of r, 0 < r < co. We use dr and da for the volume and surface elements of integration respectively, while a, is the area of the surface of the unit n-ball in E”.
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An application of a global bifurcation theorem to the existence of solutions for integral inclusions
Electronic Journal of Differential Equations, 2008 We prove the existence of solutions to Hammerstein integral inclusions of weakly completely continuous type. As a consequence we obtain an existence theorem for differential inclusions, with Sturm-Liouville boundary conditions, $$displaylines{ u''
Stanislaw Domachowski
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