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Dynamic Equations On Time Scales
the theory of time scales which has recently received a lot of attention was introduced by stefan hilger in his phd thesis 159 in 1988 supervised by bernd aulbach in order to unify continuous and discrete analysis. this book is an intro duction to the study of dynamic equations on time scales. many results concerning
Dynamic Equations On Time Scales
examples and applications integration chain rules polynomials further basic results notes and references contents preface vii chapter 1. the time scales calculus 1 1 5 13 22 31 37 46 49 chapter 2. first order linear equations 51 2.1. hilgers complex plane 51 2.2. the exponential function 58 2.3. examples of exponential functions 69 2.4
Dynamic Equations On Time Scales A Survey
dierence equations. in this paper we give an introduction to the time scales calculus. we also present various properties of the exponential function on an arbitrary time scale and use it to solve linear dynamic equations of rst order. several examples and applications among them an insect population model are considered.
Almost Periodic Solutions To Dynamic Equations On Time Scales
1. introduction recently many researches have studied the existence of peri odic solutions for dynamic equations on time scales 1 8. however few papers have been published on the existence of almost periodic solutions for dynamic equations on time scales. in fact the existence of almost periodic asymptotically
Partial Dynamic Equations On Time Scales
1. introduction and motivation throughout this work we assume a working knowledge of time scales calculus and the notation of time scales calculus. in particular we assume knowledge of the univariate case of dynamic equations. for a treatment of the univariate case see 2 and 3 or the appendix section 5. at present most of
On Stability Of Dynamic Equations On Time Scales Via ...
equations. in this paper this method is extended to dynamic equations on time scales the stability and asymptotic stability to the trivial solution of the first order system of dynamic equations are examined using dichotomic and strictly dichotomic maps. this method in dynamic equations also involves lyapunov s direct method.
Solutions To Dynamic Equations On Varying Times Scales
a book dynamic equations on time scales an introduction with applications which has made an important contribution in the eld of time scales. many results concerning dif ferential equations carry over quite easily to corresponding results for di erence equations
On Existence And Uniqueness Of Solutions To The Fuzzy ...
the theory of dynamic equations on time scales has many interesting applications in control theory mathematical economics mathematical biology engineering and technology see 26 9. in some cases there exists uncertainty ambiguity or vague factors in such problems and fuzzy
