Results 121 to 130 of about 5,661 (277)

An existence theorem of a positive solution to a semipositone Sturm–Liouville boundary value problem

open access: yes, 2010
We study a positive solution of the semipositone Sturm-Liouville boundary value problem in which the nonlinear term has no numerical lower bound. By considering the integration of certain limit growth functions and applying the Krasnosel’skii fixed point
Yao, Qingliu, Qingliu Yao
core   +1 more source

Liouville theorem and gradient estimates for nonlinear elliptic equations on Riemannian manifolds

open access: yesElectronic 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
doaj  

Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions

open access: yesInternational Journal of Analysis and Applications, 2017
In this paper, we study a new kind of nonlocal boundary value problems of nonlinear fractional differential equations and inclusions supplemented with nonlocal and generalized Riemann-Liouville fractional integral boundary conditions.
Bashir Ahmad   +2 more
doaj   +2 more sources

A Liouville theorem for the Degasperis-Procesi equation

open access: yes, 2016
Doi 10.2422/2036-2145.201410_014International audienceWe prove that the only global, strong, spatially periodic solution to the Degasperis-Procesi equation, vanishing at some point (t0, x0), is the identically zero solution.
Lorenzo Brandolese, Brandolese, Lorenzo
core   +2 more sources

A q-fractional approach to the regular Sturm-Liouville problems

open access: yesElectronic Journal of Differential Equations, 2017
In this article, we study the regular $q$-fractional Sturm-Liouville problems that include the right-sided Caputo q-fractional derivative and the left-sided Riemann-Liouville q-fractional derivative of the same order, $\alpha \in (0,1)$.
Maryam A. AL-Towailb
doaj  

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