Results 51 to 60 of about 94 (85)

Sturmian comparison method: The version for first order neutral differential equations

, 2002
In this paper the Sturmian Comparison Method is developed for the first order neutral differential equation of the type l(y) := [y(t + 1) - P(t)y(t)] + Q(t)y(t + 1 - sigma) = 0, sigma greater than or equal to 0.
Kvinikadze, G., Stavroulakis, I. P., Domshlak, Y.   +2 more
core  

The quantum-mechanical Coulomb propagator in an L² function representation. [PDF]

Sci Rep, 2021
Gersbacher R, Broad JT.
europepmc   +1 more source

An oscillatory half-linear differential equation [PDF]

, 1997
summary:A second-order half-linear ordinary differential equation of the type $$(|y^{\prime}|^{\alpha-1}y^{\prime})^{\prime}+\alpha q(t)|y|^{\alpha-1}y=0 \leqno{{\rm (1)}}$$ is considered on an unbounded interval.
Tanigawa, Tomoyuki, Kusano, Takaŝi, Elbert, Árpád   +2 more
core  

Nonnegativity of functionals corresponding to the second order half-linear differential equation [PDF]

, 1999
summary:In this paper we study extremal properties of functional associated with the half–linear second order differential equation E$_p$. Necessary and sufficient condition for nonnegativity of this functional is given in two special cases: the first ...
Mařík, Robert
core  

Damped second order linear differential equation with deviating arguments: Sharp results in oscillation properties

, 2004
This article presents a new approach for investigating the oscillation properties of second order linear differential equations with a damped term containing a deviating argument x''(t) - [P(t)x(r(t))]' + Q(t)x(l(t)) = 0, r(t) ≤ t.
Domshlak, Yury, Berezansky, Leonid
core  

Anisotropic Picone identities and anisotropic Hardy inequalities. [PDF]

J Inequal Appl, 2017
Feng T, Cui X.
europepmc   +1 more source

Conjugate points on a limiting extremal. [PDF]

Proc Natl Acad Sci U S A, 1976
Morse M.
europepmc   +1 more source

Some qualitative and quantitative properties of weak solutions to mixed anisotropic and nonlocal quasilinear elliptic and doubly nonlinear parabolic equations

This article is twofold. In the first part of the article, we consider Brezis-Oswald problem involving the mixed anisotropic and nonlocal $p$-Laplace operator and establish existence, uniqueness, boundedness and strong maximum principle.
Garain, Prashanta
core  

Sturmian comparison and oscillation theorems for quasilinear elliptic equations with mixed nonlinearities via Picone-type inequality

Sturmian comparison and oscillation theorems for quasilinear elliptic equations with mixed nonlinearities via Picone-type inequality
application/pdf A Picone-type inequality is established for quasilinear elliptic operators with mixed nonlinearities, and Sturmian comparison and oscillation theorems for quasilinear elliptic equations are derived by using the Picone-type inequality.
openaire  

A comparison theorem for Sturmian oscillation numbers of linear systems of second order

Duke Mathematical Journal, 1958
openaire   +2 more sources