Results 31 to 40 of about 767 (126)

Positive solution for singular third-order BVPs on the half line with first-order derivative dependence

Acta Universitatis Sapientiae: Mathematica, 2021
In this paper, we investigate the existence of a positive solution to the third-order boundary value problem {-u‴(t)+k2u′(t)=φ(t)f(t,u(t),u′(t)),   t>0u(0)=u′(0)=u′(+∞)=0,\left\{ \matrix{- u'''\left( t \right) + {k^2}u'\left( t \right) = \phi \left( t ...
Benmezaï Abdelhamid, Sedkaoui El-Djouher   +1 more
doaj   +1 more source

Uniqueness in the Freedericksz transition with weak anchoring [PDF]

, 2009
In this paper we consider a boundary value problem for a quasilinear pendulum equation with nonlinear boundary conditions that arises in a classical liquid crystals setup, the Freedericksz transition, which is the simplest opto-electronic switch, the ...
Barbero, Barnik, Belyakov, Davidson, de Gennes, Fernando P. da Costa, Freedericksz, Hermann, Jerome, João T. Pinto, Michael Grinfeld, Nehring, Nigel J. Mottram, Rapini, Schaaf, Smoller, Sonin, Stewart, Suhua, Virga, Yang   +20 more
core   +1 more source

Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials [PDF]

arXiv, 2021
The aim of this paper is analyzing existence, multiplicity, and regularity issues for the positive solutions of a Neumann boundary value problem of superlinear indefinite type related to the mean curvature operator with a sublinear potential at infinity.
arxiv  

Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters

, 2014
In this paper, we study the existence of a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters.
Ying Wang, Lishan Liu, Yonghong Wu
semanticscholar   +1 more source

Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]

, 2015
In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
core   +1 more source

Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications [PDF]

, 2014
We provide a theory to establish the existence of nonzero solutions of perturbed Hammerstein integral equations with deviated arguments, being our main ingredient the theory of fixed point index.
Cabada, Alberto, Infante, Gennaro, Tojo, F. Adrian F.   +2 more
core   +1 more source

Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain

Open Mathematics, 2017
In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon, Ntouyas Sotiris K., Asawasamrit Suphawat, Promsakon Chanon   +3 more
doaj   +1 more source

Existence of positive solutions of nonlinear fractional q-difference equation with parameter

Advances in Differential Equations, 2013
In this paper, we study the boundary value problem of a class of nonlinear fractional q-difference equations with parameter involving the Riemann-Liouville fractional derivative.
Xinhui Li, Z. Han, Shurong Sun
semanticscholar   +1 more source

Constant scalar curvature metrics on Hirzebruch surfaces [PDF]

Ann. Glob. Anal. Geom. Online First (2014), 2013
We construct smooth Riemannian metrics with constant scalar curvature on each Hirzebruch surface. These metrics respect the complex structures, fiber bundle structures, and Lie group actions of cohomogeneity one on these manifolds. Our construction is reduced to an ordinary differential equation called Duffing equation.
arxiv   +1 more source

Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with p-Laplacian

, 2013
In this paper, we study the existence of positive solutions for the nonlinear fractional boundary value problem with a p-Laplacian operator D0+β(ϕp(D0+αu(t)))=f(t,u(t ...
Hongling Lu, Z. Han, Shurong Sun, Jian Liu   +3 more
semanticscholar   +1 more source