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Titlebook: Selected Papers of Demetrios G. Magiros; Applied Mathematics, S. G. Tzafestas Book 1985 Springer Science+Business Media Dordrecht 1985 Appl

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书目名称Selected Papers of Demetrios G. Magiros
副标题Applied Mathematics,
编辑S. G. Tzafestas
视频video
图书封面Titlebook: Selected Papers of Demetrios G. Magiros; Applied Mathematics, S. G. Tzafestas Book 1985 Springer Science+Business Media Dordrecht 1985 Appl
描述The theory of nonlinear oscillations and stability of motion is a fundamental part of the study of numerous real world phenomena. These phenomena, particularly auto-oscillations of the first and second kind, capture, para­ metric, subharmonic and ultraharmonic resonance, asymptotic behavior and orbits‘ stability, constitute the core of problems treated in "Nonlinear Mechanics", and their study is connected with the names of H. Poincare, A. M. Lyapunov, N. M. Krylov and N. N. Bogolyubov. Professor Demetrios Magiros, a widely known scientist in the theories of oscillations and nonlinear differential equations, has devoted his numerous works to this significant part of modern physical science. His scientific results can be classified in the following way: I) creation of methods of analysis of subharmonic resonances under the nonlinear effect, 2) determination and analysis of the main modes of nonlinear oscillations on the basis of infinite determinants, 3) analysis of problems of celestial mechanics, 4) classification of stability of solutions of dynamic systems concepts, 5) mathematical analogs of physical and social systems. He has developed new methods and solutions for a great num
出版日期Book 1985
关键词Applied Mathematics; Finite; calculus; equation; function; mathematics
版次1
doihttps://doi.org/10.1007/978-94-009-5368-0
isbn_softcover978-94-010-8869-5
isbn_ebook978-94-009-5368-0
copyrightSpringer Science+Business Media Dordrecht 1985
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A Class of Nonautonomous Differential Equations Reducible to Autonomous Ones by an Exact Method..—This paper is concerned with the reduction of a class of nonautonomous differential equations to another class of autonomous ones by using an exact method based on an appropriate transformation of the independent variable. A condition necessary and sufficient for the reducibility is found and proved.
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ΕΦΗΡΜΟΣΜΕΝΑ ΜΑΘΗΜΑΤΙΚΑ. — Nonlinear differential equations with several general solutionsNonlinear differential equations constitute today a field of scientific knowledge basic for the investigation of the majority of physical phenomena, technological systems, social problems.
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ΜΑΘΗΜΑΤΙΚΑ. — The general solutions of nonlinear differential equations as functions of their arbitrOne of the major difficulties encountered in the general solutions of nonlinear differential equations, in contrast to the solutions of linear ones, is the manner in which the arbitrary constants enter these solutions. In this paper information is given and results are found in connection with this subject.
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ΜΑΘΗΜΑΤΙΚΑ. — Characteristic Properties of Linear and Nonlinear SystemsIn two previous papers (published in : Practica of Athens Academy, June 1976; and as GE Reports: (a) 76SDRO26, 6/28/76; and b) 76SDRO27, 7/1/76, we examined exact and approximate methods of linearization of nonlinear systems.
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