Basic qualitative and quantitative results for solutions to nonlinear, dynamic equations on time scales with an application to economic modelling

CC Tisdell, A Zaidi - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
This article investigates both basic qualitative and basic quantitative properties of solutions
to first-and higher-order dynamic equations on time scales and thus provides a foundation …

[PDF][PDF] Volterra integral equations on time scales: basic qualitative and quantitative results with applications to initial value problems on unbounded domains

T Kulik, CC Tisdell - Int. J. Difference Equ, 2008 - campus.mst.edu
This article introduces the basic qualitative and basic quantitative theory of Volterra integral
equations on time scales and thus may be considered as a foundation for future advanced …

[HTML][HTML] Existence and roughness of exponential dichotomies of linear dynamic equations on time scales

J Zhang, M Fan, H Zhu - Computers & Mathematics with Applications, 2010 - Elsevier
In this paper, we define the exponential dichotomy of linear dynamic equations on time
scales, then we present perturbation theorems on the roughness of exponential dichotomy …

Stieltjes differential inclusions with periodic boundary conditions without upper semicontinuity

V Marraffa, B Satco - Mathematics, 2021 - mdpi.com
We are studying first order differential inclusions with periodic boundary conditions where
the Stieltjes derivative with respect to a left-continuous non-decreasing function replaces the …

[책][B] Stability, periodicity and boundedness in functional dynamical systems on time scales

M Adıvar, YN Raffoul - 2020 - Springer
The book provides an integrated approach to the study of the qualitative theory of dynamical
systems on time scales. It is aimed at postgraduate students and researchers with basic …

[PDF][PDF] Nonlocal initial value problems for first-order dynamic equations on time scales

S Tikare - Appl. Math. E-Notes, 2021 - math.nthu.edu.tw
This article is concerned with a class of first-order dynamic equations on time scales with
nonlocal initial conditions. Qualitative and quantitative results are discussed. Through an …

[PDF][PDF] Existence theorems for first-order equations on time scales with-Caratheódory functions

H Gilbert - Advances in Difference Equations, 2010 - Springer
This paper concerns the existence of solutions for two kinds of systems of first-order
equations on time scales. Existence results for these problems are obtained with new …

[PDF][PDF] Systems of first-order nabla dynamic equations on time scales

B Bendouma, AB Cherif… - Malaya Journal of …, 2018 - malayajournal.org
In this article, we study the existence of solutions to systems of first-order∇-dynamic
equations on time scales with periodic boundary or terminal value conditions. where the …

Existence of solutions to nonlinear first-order PBVPs on time scales

JP Sun, WT Li - Nonlinear Analysis: Theory, Methods & Applications, 2007 - Elsevier
Existence of solutions to nonlinear first-order PBVPs on time scales - ScienceDirect Skip to
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Systems of first order inclusions on time scales

M Frigon, H Gilbert - Topological Methods in Nonlinear Analysis, 2011 - projecteuclid.org
SYSTEMS OF FIRST ORDER INCLUSIONS ON TIME SCALES Marl`ene Frigon — Hugues
Gilbert 1. Introduction In 1990, S. Hilger [18] intr Page 1 Topological Methods in Nonlinear …