Results 1 to 10 of about 15,940,619 (296)

Ostrowski’s inequality on time scales

open access: yesApplied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Kwong-Wong-type integral equation on time scales

open access: yesElectronic Journal of Differential Equations, 2011
Consider the second-order nonlinear dynamic equation $$ [r(t)x^Delta(ho(t))]^Delta+p(t)f(x(t))=0, $$ where $p(t)$ is the backward jump operator. We obtain a Kwong-Wong-type integral equation, that is: If $x(t)$ is a nonoscillatory solution of the ...
Baoguo Jia
doaj  

Oscillation theorems for certain third order nonlinear delay dynamic equations on time scales

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, we establish some new oscillation criteria for the third order nonlinear delay dynamic equations $$\left(b(t)\left([a(t)(x^\Delta(t))^{\alpha_1}]^\Delta\right)^{\alpha_2}\right)^\Delta+q(t)x^{\alpha_3}(\tau(t))=0$$ on a time scale $\mathbb{
Yibing Sun   +3 more
doaj   +1 more source

Nonlinear triple-point problems on time scales

open access: yesElectronic Journal of Differential Equations, 2004
We establish the existence of multiple positive solutions to the nonlinear second-order triple-point boundary-value problem on time scales, $$displaylines{ u^{Delta abla}(t)+h(t)f(t,u(t))=0, cr u(a)=alpha u(b)+delta u^Delta(a),quad eta u(c)+gamma u^Delta(
Douglas R. Anderson
doaj  

Random dynamical systems on time scales

open access: yesElectronic Journal of Differential Equations, 2012
The purpose of this paper is to prove the existence and uniqueness of solution for random dynamic systems on time scales.
Cristina Lungan, Vasile Lupulescu
doaj  

Multiple Lebesgue integration on time scales

open access: yesAdvances in Difference Equations, 2006
We study the process of multiple Lebesgue integration on time scales. The relationship of the Riemann and the Lebesgue multiple integrals is investigated.
Guseinov Gusein Sh, Bohner Martin
doaj  

Boundary Value Problems on Time Scales

open access: yesAdvances in Difference Equations, 2009
Cabada Alberto, Otero-Espinar Victoria
doaj   +2 more sources

Integral inequalitys for partial dynamic equations on time scales

open access: yesElectronic Journal of Differential Equations, 2012
The aim of the present paper is to study some basic qualitative properties of solutions of some partial dynamic equations on time scales. A variant of certain fundamental integral inequality with explicit estimates is used to establish our results.
Deepak B. Pachpatte
doaj  

Theorems of Kiguradze-type and Belohorec-type revisited on time scales

open access: yesElectronic Journal of Differential Equations, 2015
This article concerns the oscillation of second-order nonlinear dynamic equations. By using generalized Riccati transformations, Kiguradze-type and Belohorec-type oscillation theorems are obtained on an arbitrary time scale.
Hongwu Wu, Baoguo Jia, Lynn Erbe
doaj  

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