Results 11 to 20 of about 24,283 (189)

A new Definition of Fractional Derivative and Fractional Integral [PDF]

Kirkuk Journal of Science, 2018
In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
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Finite Morse index solutions of the Hénon Lane–Emden equation

Journal of Inequalities and Applications, 2019
In this paper, we are concerned with Liouville-type theorems of the Hénon Lane–Emden triharmonic equations in whole space. We prove Liouville-type theorems for solutions belonging to one of the following classes: stable solutions and finite Morse index ...
Abdellaziz Harrabi, Cherif Zaidi
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Liouville theorems for Kirchhoff-type parabolic equations and system on the Heisenberg group

Open Mathematics, 2023
In this article, the Liouville theorems for the Kirchhoff-type parabolic equations on the Heisenberg group were established. The main technique for proving the result relies on the method of test functions.
Shi Wei
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A Note on Parabolic Liouville Theorems and Blow-Up Rates for a Higher-Order Semilinear Parabolic System

International Journal of Differential Equations, 2011
We improve some results of Pan and Xing (2008) and extend the exponent range in Liouville-type theorems for some parabolic systems of inequalities with the time variable on R.
Guocai Cai, Hongjing Pan, Ruixiang Xing
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A C^1 Arnol'd-Liouville theorem

Astérisque, 2020
In this paper, we prove a version of Arnol'd-Liouville theorem for C 1 commuting Hamiltonians. We show that the Lipschitz regularity of the foliation by invariant Lagrangian tori is crucial to determine the Dynamics on each Lagrangian torus and that the C 1 regularity of the foliation by invariant Lagrangian tori is crucial to prove the continuity of ...
Arnaud, Marie-Claude, Xue, Jinxin
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Quasilinear elliptic equations with critical potentials

Advances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Ambarzumyan Type Theorems for a Class of Sturm-Liouville Problem

Cumhuriyet Science Journal, 2017
In this paper, we prove Ambarzumyan type theorems foran impulsive Sturm–Liouville problem with eigenparameter in the boundaryconditions.
A. Sinan Özkan, Yaşar Çakmak
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A new kind of uniqueness theorems for inverse Sturm-Liouville problems

Boundary Value Problems, 2017
We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyan’s theorem.
Yuri Ashrafyan
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Some Liouville Theorems on Finsler Manifolds

Mathematics, 2019
We give some Liouville type theorems of L p harmonic (resp. subharmonic, superharmonic) functions on a complete noncompact Finsler manifold.
Minqiu Wang, Songting Yin
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Existence of Three Solutions for Nonlinear Operator Equations and Applications to Second-Order Differential Equations

Journal of Function Spaces, 2021
The existence of three solutions for nonlinear operator equations is established via index theory for linear self-adjoint operator equations, critical point reduction method, and three critical points theorems obtained by Brezis-Nirenberg, Ricceri, and ...
Mingliang Song, Shuyuan Mei
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