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Thursday, July 23, 2020 | History

2 edition of Periodic solutions of certain ordinary non-linear differential equations found in the catalog.

Periodic solutions of certain ordinary non-linear differential equations

Eliseu Resende

# Periodic solutions of certain ordinary non-linear differential equations

## by Eliseu Resende

• 220 Want to read
• 10 Currently reading

Published by Instituto de Matemática Pura e Aplicada do Conselho Nacional de Pesquisas in Rio de Janeiro .
Written in English

Subjects:
• Differential equations, Nonlinear.

• Edition Notes

Bibliography: p. 49-50.

The Physical Object ID Numbers Statement por Eliseu Resende. Series Notas de matemática -- no. 29., Notas de matemática (Rio de Janeiro, Brazil) -- no. 29. Pagination 50 p. : Number of Pages 50 Open Library OL16529204M

Ordinary and Partial Differential Equations by John W. Cain and Angela M. Reynolds Department of Mathematics & Applied Mathematics Virginia Commonwealth University Richmond, Virginia, Publication of this edition supported by the Center for Teaching Excellence at vcu Ordinary and Partial Differential Equations: An Introduction to Dynamical. ordinary-differential-equation-calculator. en. image/svg+xml. Related Symbolab blog posts. Advanced Math Solutions – Ordinary Differential Equations Calculator, Separable ODE. Last post, we talked about linear first order differential equations. In this post, we will talk about separable.

The aim of this paper is to describe the structure of global attractors for non-autonomous dynamical systems with recurrent coefficients (with both continuous and discrete time). We consider a special class of this type of systems (the so--called weak convergent systems). It is shown that, for weak convergent systems, the answer to Seifert's question (Does an almost Cited by: 8. problem for the ordinary diﬀerential equation or, with an established abbreviation, the ODE, dy dt = f (t; y); y (a) = c: In mathematics courses, one learns how to determine exact solutions to this problem for certain special functions f. An important special case is when is an aﬃne function of y. However, for most diﬀerential equations.

On periodic bounded and unbounded solutions of second order nonlinear ordinary differential equations; On one two-point BVP for the fourth order linear ordinary differential equation; On non-oscillation for certain system of non-linear ordinary differential equations; Investigation of solutions of state-dependent multi-impulsive boundary value Author: Alexander Lomtatidze. N. W. McLachlan, Ordinary Non-Linear Differential Equations in Engineering and Physical Sciences, Oxford, at the Clarendon Press, MR ; F. Melde, Über die Erregung stehender Wellen eines fadenförmigen Körpers, Poggendorff's Ann. der Physik , ()Cited by: 5.

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### Periodic solutions of certain ordinary non-linear differential equations by Eliseu Resende Download PDF EPUB FB2

Periodic solutions of certain ordinary non-linear differential equations. Rio de Janeiro, Instituto de Matemática Pura e Aplicada do Conselho Nacional de Pesquisas, (OCoLC) Document Type: Book: All Authors / Contributors: Eliseu Resende. On the existence of periodic solutions to certain non-linear differential equations of third order June Proceedings of the Pakistan Academy of Sciences 54(2) The principle aim of this paper is to present some new results related to the ultimate boundedness and existence of periodic of solutions a certain non-linear ordinary vector differential equation.

Bihari I. () Periodic solutions of some second order nonlinear differential equations with periodic coefficients.

In: Sleeman B.D., Jarvis R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol Cited by: 1. Full text of "Ordinary Non Linear Differential Equations" See other formats.

Periodic solutions of certain ordinary non-linear differential equations book Mawhin J () Continuation theorems and periodic solutions of ordinary differential equations. In: Granas A, Frigon M (eds) Topological methods in differential equations and inclusions, NATO ASI C Kluwer, Amsterdam, pp – CrossRef Google Scholar.

A Volterra integral formulation based on the introduction of a term proportional to the velocity times the square of the (unknown) frequency of oscillation, a new independent variable equal to the original one times the (unknown) frequency of oscillation, the method of variation of parameters and series expansions of both the solution and the frequency of oscillation, is used Cited by: 6.

Depending upon the domain of the functions involved we have ordinary diﬀer-ential equations, or shortly ODE, when only one variable appears (as in equations ()-()) or partial diﬀerential equations, shortly PDE, (as in ()).

From the point of view of File Size: 1MB. Periodic Solutions of a Certain Non-Linear Differential Equations 英文书摘要 The study of nonlinear oscillators equations is of great importance not only in all areas of physics but also in engineering and other disciplines, since most phenomena in our word are nonlinear and are described by nonlinear equations.

Publisher Summary. This chapter discusses generic properties of differential equations. Let M be a compact differential manifold and let B be the Banach space of all C 1 first-order differential equations, with the C 1 metric, on M, then the property of having only elementary critical points and elementary periodic solutions is generic in B.

Jordan and Smith have done an excellent job in describing and providing techniques to solve non-linear differential equations. Non-linear ordinary differential equations are stiff and can be solved numerically, but numerical solutions do not provide physical parametric insight.

Consequently, it is often necessary to find a closed analytical Cited by: Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero.

For example, + −. For a single polynomial equation, root-finding algorithms can be used to find solutions to the equation (i.e., sets of values for the variables that satisfy the equation).

However, systems of algebraic. Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers (Oxford Texts in Applied and Engineering Mathematics Book 10) - Kindle edition by Jordan, Dominic, Smith, Peter.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Nonlinear Ordinary /5(19). NEW ULTIMATE BOUNDEDNESS AND PERIODICITY RESULTS FOR CERTAIN THIRD-ORDER NONLINEAR VECTOR DIFFERENTIAL EQUATIONS Cem˙il TUNC¸ and Ercan TUNC¸ Abstract.

The principle aim of this paper is to present some new results related to the ultimate boundedness and existence of periodic of solutions a certain non-linear ordinary vector.

Purchase Non-Linear Differential Equations - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. Non-Linear Differential Equations covers the general theorems, principles, solutions, and applications of non-linear differential equations.

This book is divided into nine chapters. The first chapters contain detailed analysis of the phase portrait of two-dimensional autonomous Edition: 1. The boundary condition y(ˇ) = 0 amounts to a non-linear algebraic equation for.

Generally existence and uniqueness of solutions of nonlinear algebraic equations are di cult matters. For this example the al-gebraic equation is solved easily to nd that the BVP has a non-trivial solution if, and only if, = k2 for k =1;2; This example shows File Size: KB.

SIAM Journal on Mathematical Analysis() On the Floquet Multipliers of Periodic Solutions to Non-linear Functional Differential Equations. () Ordinary differential equations which yield periodic solutions of differential delay by: for solutions of diﬀerential equations in Banach spaces.

Also, the basic re-sults of perturbation and bifurcation theory, including the continuation of subharmonics, the existence of periodic solutions via the averaging method, as well as the saddle node and Hopf bifurcations, are presented as appli-cations of the implicit function theorem.

On the Boundedness and Integration of Non-Oscillatory Solutions of Certain Linear Differential Equations of Second Order, Journal of Advanced Research, 7(1), pp.Yang, X.S., A Boundedness Theorem on Higher-Dimensional Hill Equations, : Cemil Tunc, Timur Ayhan.

ORDINARY NON-LINEAR DIFFERENTIAL EQUATIONS IN ENGINEERING AND PHYSICAL SCIENCES BY N. W. McLACHLAN D. SC. ENGINEERING, LONDON OXFORD AT THE CLARENDON PRESS Oxford University Press, Amen House, London E. C, 4 GLASGOW NEW YORK TORONTO MELBOURNE WELLINGTON BOMBAY CALCUTTA MADRAS .Almost periodic and periodic solutions of certain dissipative delay differential equations.

Conference Publications,(Special): Author: Pablo Amster, Manuel Zamora. “The book under review is a well-written textbook on ODE, suitable for advanced undergraduate or first year graduate students in Mathematics or Physical Sciences The abundance of examples from physical and biological sciences and engineering to show the applications of the theorems presented in the text adds to the value of the book.”.