Results 71 to 80 of about 727,614 (177)

Generalized Picone's identity and its applications

Electronic Journal of Differential Equations, 2013
In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
doaj  

Comparison theorems and hypersurfaces

Manuscripta Mathematica, 1987
The Jacobi equation is most commonly used as a basis for comparison theorems in Riemannian geometry. It is well known that the Riccati equation may be used for this purpose as well [cf. e.g. \textit{M. Gromov}, Structures métriques pour les variétés riemanniennes (1981; Zbl 0509.53034)]. The present paper develops that approach systematically.
openaire   +2 more sources

Comparison and existence theorems for backwards stochastic DE's with discontinuous generators

Electronic Journal of Differential Equations, 2011
An existence result is proved for backwards stochastic differential equations (BSDEs) with a generator f(t,x,z) which is possibly discontinuous in the x variable.
Nikolaos Halidias, Peter E. Kloeden
doaj  

Existence of entire solutions for non-local delayed lattice differential equations

Electronic Journal of Differential Equations, 2013
In this article we study entire solutions for a non-local delayed lattice differential equation with monostable nonlinearity. First, based on a concavity assumption of the birth function, we establish a comparison theorem.
Shi-Liang Wu, San-Yang Liu
doaj  

Sturm-Picone type theorems for nonlinear differential systems

Electronic Journal of Differential Equations, 2015
In this article, we establish a Picone-type inequality for a pair of first-order nonlinear differential systems. By using this inequality, we give Sturm-Picone type comparison theorems for these systems and a special class of second-order half-linear ...
Aydin Tiryaki
doaj  

Fixed Point Results of Miculescu-Mihail, Mitrović-Hussain, and Boyd-Wong Type in Regular Semimetric Spaces

Journal of Mathematics
We establish three types of nonlinear fixed point theorems in regular semimetric spaces. First, we generalize Miculescu and Mihail’s result, thereby unifying the Matkowski fixed point theorem and the Istrăţescu fixed point theorem concerning convex ...
Shu-Min Lu, Peng Wang, Fei He
doaj   +1 more source

On the asymptotic behavior of a class of third order nonlinear neutral differential equations

Open Mathematics, 2010
Baculíková Blanka, Džurina Jozef
doaj   +1 more source

Oscillation of the solution to a singular differential equation

Electronic Journal of Differential Equations, 1999
Let $u$ be a solution to the initial-value problem {eqnarray*} &u''(t) + frac{N-1}{t}u'(t) + u(t) + u(t)|u(t)|^{4/(N-2)} = 0, quad t in (0,T]& &u(0) = frac {1}{2},quad u' (0) = 0,.
Alexandra Kurepa, Hugh Weithers
doaj  

Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]

Arch Ration Mech Anal
Bögelein V, Duzaar F, Treu G.
europepmc   +1 more source

Distributional Sectional Curvature Bounds for Riemannian Metrics of Low Regularity. [PDF]

J Geom Anal
Erös D, Kunzinger M, Ohanyan A, Vardabasso A.   +3 more
europepmc   +1 more source