Disconjugacy and Higher Order Dynamic Equations

P Eloe - Advances in Dynamic Equations on Time Scales, 2003 - Springer
In this chapter, we introduce the study of disconjugacy of n th order dynamic equations on
time scales. Disconjugacy of ordinary differential equations is thoroughly studied and has a …

[BUKU][B] Impulsive differential equations and inclusions

M Benchohra - 2006 - books.google.com
We dedicate this book to our family members who complete us. In particular, M. Benchohra's
dedication is to his wife, Kheira, and his children, Mohamed, Maroua, and Abdelillah; J …

[HTML][HTML] Dynamic equations on time scales: a survey

R Agarwal, M Bohner, D o'Regan, A Peterson - Journal of Computational …, 2002 - Elsevier
The study of dynamic equations on time scales, which goes back to its founder Stefan Hilger
(1988), is an area of mathematics that has recently received a lot of attention. It has been …

[BUKU][B] Dynamic inequalities on time scales

R Agarwal, D O'Regan, S Saker - 2014 - Springer
Ravi Agarwal · Donal O'Regan Samir Saker Page 1 Ravi Agarwal · Donal O'Regan Samir
Saker Dynamic Inequalities On Time Scales Page 2 Dynamic Inequalities On Time Scales …

[BUKU][B] Infinite interval problems for differential, difference and integral equations

RP Agarwal, D O'Regan - 2012 - books.google.com
Infinite interval problems abound in nature and yet until now there has been no book dealing
with such problems. The main reason for this seems to be that until the 1970's for the infinite …

[BUKU][B] Nonoscillation and oscillation theory for functional differential equations

RP Agarwal, M Bohner, WT Li - 2004 - taylorfrancis.com
This book summarizes the qualitative theory of differential equations with or without delays,
collecting recent oscillation studies important to applications and further developments in …

[HTML][HTML] On Green's functions and positive solutions for boundary value problems on time scales

FM Atici, GS Guseinov - Journal of Computational and Applied Mathematics, 2002 - Elsevier
In this paper we offer a form of self-adjoint differential equations on time scales so that the
associated Green's function is found symmetric in the usual sense. For this purpose together …

Positive solutions for a nonlinear differential equation on a measure chain

L Erbe, A Peterson - Mathematical and Computer Modelling, 2000 - Elsevier
We are concerned with proving the existence of positive solutions of general two point
boundary value problems for the nonlinear equation Lx (t):=−[r (t) xΔ (t)] Δ=/tf (t, x (t)). We will …

Commutativity of quaternion‐matrix–valued functions and quaternion matrix dynamic equations on time scales

Z Li, C Wang, RP Agarwal… - Studies in Applied …, 2021 - Wiley Online Library
In this paper, we obtain some basic results of quaternion algorithms and quaternion calculus
on time scales. Based on this, a Liouville formula and some related properties are derived …

[PDF][PDF] Green's functions and comparison theorems for differential equations on measure chains

L Erbe, A Peterson - DYNAMICS OF CONTINUOUS DISCRETE AND …, 1999 - math.unl.edu
We are concerned with the calculus on measure chains which is a unified approach to
continuous and discrete calculus. An excellent introduction to this subject is given by S …