Smooth bifurcation of symmetric periodic solutions of functional differential equations

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Positive periodic solutions of functional differential equations

We consider the existence, multiplicity and nonexistence of positive o-periodic solutions for the periodic equation x0ðtÞ 1⁄4 aðtÞgðxÞxðtÞ lbðtÞf ðxðt tðtÞÞÞ; where a; bACðR; 1⁄20;NÞÞ are o-periodic, Ro 0 aðtÞ dt40; Ro 0 bðtÞ dt40; f ; gACð1⁄20;NÞ; 1⁄20;NÞÞ; and f ðuÞ40 for u40; gðxÞ is bounded, tðtÞ is a continuous o-periodic function. Define f0 1⁄4 limu-0þ f ðuÞ u ; fN 1⁄4 limu-N f ðuÞ u ; i0...

متن کامل

Global Bifurcation of Oscillatory Periodic Solutions of Delay Differential Equations

where λ > 0 is a parameter. We will be interested in large values of this parameter. Note that, for every function y : R → R the “translates” yt : [−M, 0]→ R are defined by yt(θ) . = y(t + θ), where −M ≤ θ ≤ 0. Equation (Eλ) includes equations with constant delays (e.g. f(φ) = g(φ(−M)), φ ∈ C([−M, 0];R), for some g : R → R) or state dependent delays (e.g. f(φ) = g(φ(−r(φ(0)))), for some r : R →...

متن کامل

On Periodic Solutions of Systems of Linear Functional Differential Equations

This paper deals with the system of functional-diierential equations dx(t) dt = p(x)(t) + q(t); where p : C!(R n) ! L!(R n) is a linear bounded operator, q 2 L!(R n), ! > 0 and C!(R n) and L!(R n) are spaces of n-dimensional !-periodic vector functions with continuous and integrable on 0;!] components, respectively. Conditions which guarantee the existence of a unique !-periodic solution and co...

متن کامل

Smooth Solutions of a Class of Iterative Functional Differential Equations

and Applied Analysis 3 where i, j, and k are nonnegative integers. Let I be a closed interval in R. By induction, we may prove that x∗jk t Pjk ( x10 t , . . . , x1,j−1 t ; . . . ;xk0 t , . . . , xk,j−1 t ) , 1.11 βjk Pjk ⎛ ⎜⎝ j terms { }} { x′ ξ , . . . , x′ ξ ; . . . ; j terms { }} { x k ξ , . . . , x k ξ ⎞ ⎟⎠, 1.12 Hjk Pjk ⎛ ⎜⎝ j terms { }} { 1, . . . , 1; j terms { }} { M2, . . . ,M2; . . . ...

متن کامل

Periodic solutions of first order functional differential equations

The best ebooks about Periodic Solutions Of First Order Functional Differential Equations In Population Dynamics that you can get for free here by download this Periodic Solutions Of First Order Functional Differential Equations In Population Dynamics and save to your desktop. This ebooks is under topic such as communications in applied analysis 12 multiple periodic positive periodic solutions ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 1989

ISSN: 0022-0396

DOI: 10.1016/0022-0396(89)90170-8