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Titlebook: Global Behavior of Nonlinear Difference Equations of Higher Order with Applications; V. L. Kocic,G. Ladas Book 1993 Springer Science+Busin

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发表于 2025-3-21 18:24:08 | 显示全部楼层 |阅读模式
书目名称Global Behavior of Nonlinear Difference Equations of Higher Order with Applications
编辑V. L. Kocic,G. Ladas
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Global Behavior of Nonlinear Difference Equations of Higher Order with Applications;  V. L. Kocic,G. Ladas Book 1993 Springer Science+Busin
描述Nonlinear difference equations of order greater than one are of paramount impor­ tance in applications where the (n + 1)st generation (or state) of the system depends on the previous k generations (or states). Such equations also appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations which model various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our aim in this monograph is to initiate a systematic study of the global behavior of solutions of nonlinear scalar difference equations of order greater than one. Our primary concern is to study the global asymptotic stability of the equilibrium solution. We are also interested in whether the solutions are bounded away from zero and infinity, in the description of the semi cycles of the solutions, and in the existence of periodic solutions. This monograph contains some recent important developments in this area together with some applications to mathematical biology. Our intention is to expose the reader to the frontiers of the subject and to formulate some important open problems that require our immediate attention.
出版日期Book 1993
关键词behavior; difference equation; differential equation; stability
版次1
doihttps://doi.org/10.1007/978-94-017-1703-8
isbn_softcover978-90-481-4273-6
isbn_ebook978-94-017-1703-8
copyrightSpringer Science+Business Media Dordrecht 1993
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https://doi.org/10.1007/978-3-663-01367-9t the reader needs to understand the material in this book and to be able to attack the open problems and conjectures is a good foundation in analysis. The reader is advised to just glance at the definitions and results which are stated in Sections 1.2–1.7 and return for the details as they are needed in the sequel.
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Book 1993e system depends on the previous k generations (or states). Such equations also appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations which model various diverse phenomena in biology, ecology, physiology, physics, engineering and economics
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October Revolution and Its Fruits for WomenOur goal in this chapter is to gain some understanding of the dynamics of rational recursive sequences of the form.where . is a positive integer and the coefficients ., ., ..,...,.., ..,...,.. are nonnegative real numbers.
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Hungary and the Victor Powers, 1945-1950In this chapter we inverstigate the global asymptotic stability and the oscillatory character of some discrete models, as well as some discrete analogues of continuous models taken from Mathematical Biology and Physics.
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Rational Recursive Sequences,Our goal in this chapter is to gain some understanding of the dynamics of rational recursive sequences of the form.where . is a positive integer and the coefficients ., ., ..,...,.., ..,...,.. are nonnegative real numbers.
发表于 2025-3-23 05:47:16 | 显示全部楼层
Applications,In this chapter we inverstigate the global asymptotic stability and the oscillatory character of some discrete models, as well as some discrete analogues of continuous models taken from Mathematical Biology and Physics.
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