Results 1 to 10 of about 15,940,619 (296)
Ostrowski’s inequality on time scales
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Kwong-Wong-type integral equation on time scales
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
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Oscillation theorems for certain third order nonlinear delay dynamic equations on time scales
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
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Nonlinear triple-point problems on time scales
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
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Random dynamical systems on time scales
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
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Multiple Lebesgue integration on time scales
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
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Boundary Value Problems on Time Scales
Cabada Alberto, Otero-Espinar Victoria
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Integral inequalitys for partial dynamic equations on time scales
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
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Theorems of Kiguradze-type and Belohorec-type revisited on time scales
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
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