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SS78: Advances in Qualitative Theory of Differential, Difference and Dynamic Equations

Organizer(s):
Name:	Affiliation:	Country:
Elvan Akin	Missouri University S&T	USA
Billur Kaymakcalan	Cankaya University	Turkey
Agacik Zafer	American University of the Middle East	Kuwait

Abstract:
The subject of differential equations and difference equations has a long and enriched history ranging from their theoretical developments to tremendous applications in a variety of applied fields. Dynamic equations (time scales calculus) unifies the differential equations and difference equations, and equations in between. In this special session, we aim to bring together the leading researchers to highlight the recent achievements in the related fields. The talks will focus on the qualitative and quantitative properties of differential equations, difference equations, fractional equations, impulsive equations, and dynamic equations with a particular emphasis on the following topics: • Asymptotic behavior • Boundedness of solutions • Oscillation theory • Representations of solutions • Stability theory • Boundary value problems • Inequalities • Numerical methods

List of approved abstract
Name	Affiliation	Title
Elvan Akin	Missouri S&T	Modeling the Dynamics of HIV-1 Decline in Patients on Protease Inhibitor Monotherapy on Time Scales
Douglas R Anderson	Concordia College Moorhead	Connecting Caputo-Fabrizio fractional derivatives without singular kernel and proportional derivatives
Mohamed Ben Haj Rhouma	Qatar University	On difference equations of the type $x_{n+1} = f(\\bar{x_n}}$
Rui Ferreira	University of Lisbon	Fractional Lyapunov-type inequalities
Christopher C Green	Macquarie University	Harmonic measure distribution functions for a class of multiply connected symmetrical slit domains
Yoshihiro Hamaya	Okayama University of Science	Periodic and almost periodic solutions in gross-substitute discrete dynamical systems
Fatma Karakoc	Ankara University	Asymptotic Behaviour of the Population Models with Piecewise Constant Argument
Zeynep Kayar	Van Yuzuncu Yil University	Lyapunov type inequality for linear dynamic Hamiltonian systems
Billur Kaymakçalan	Çankaya University	Bennet and Leindler Type Dynamic Inequalities
Masakazu Onitsuka	Okayama University of Science	Best constant in Hyers--Ulam stability of first-order nonhomogeneous linear difference equations with a constant stepsize
Neslihan Nesliye N PELEN	Ondokuz Mayis University	ON THE APPLICATIONS OF IMPULSIVE PREDATOR-PREY DYNAMIC SYSTEMS
Yuriy Rogovchenko	University of Agder	Non-monotonic solutions to nonlinear second-order differential equations with damping
Naoto Yamaoka	Osaka Prefecture University	Oscillation problems for second-order nonlinear dynamic equations of Euler type on time scales
{"O}zkan {"O}zt{"u}rk	Giresun University	Recent Advances on Nonoscillation of Two-Dimensional Time Scale Systems