The set of periodic scalar differential equations with cubic nonlinearities

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

Semilinear Elliptic Equations with Generalized Cubic Nonlinearities

A semilinear elliptic equation with generalized cubic nonlinearity is studied. Global bifurcation diagrams and the existence of multiple solutions are obtained and in certain cases, exact multiplicity is proved.

متن کامل

Duffing equations with cubic and quintic nonlinearities

In this study, an accurate analytical solution for Duffing equations with cubic and quintic nonlinearities is obtainedusing theHomotopyAnalysisMethod (HAM) andHomotopy Pade technique. Novel and accurate analytical solutions for the frequency and displacement are derived. Comparison between the obtained results andnumerical solutions shows that only the first order approximation of the Homotopy ...

متن کامل

Stability and Exact Multiplicity of Periodic Solutions of Duffing Equations with Cubic Nonlinearities

We study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities, x + cx + ax − x = h(t), (∗) where a and c > 0 are positive constants and h(t) is a positive T -periodic function. We obtain sharp bounds for h such that (∗) has exactly three ordered T -periodic solutions. Moreover, when h is within these bounds, one of the three solutions is n...

متن کامل

Control of Three Heat Equations Coupled with Two Cubic Nonlinearities

We study the null controllability of three parabolic equations. The control is acting only on one of the three equations. The three equations are coupled by means of two cubic nonlinearities. The linearized control system around 0 is not null controllable. However, using the cubic nonlinearities, we prove the (global) null controllability of the control system. The proof relies on the return me...

متن کامل

Yuji Liu PERIODIC SOLUTIONS OF FIRST - ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH SUPPER - LINEAR NONLINEARITIES

The existence results for periodic solutions concerning first-order functional differential equation x′(t) = f(t, x(t), x(t− τ1(t)), · · · , x(t− τm(t))), t ∈ R are proved. The methods are based upon the coincidence degree theory by Mawhin. The results obtained are new. Examples, that can not be solved by known theorems, are given to illustrate the main results.

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 Mathematical Analysis and Applications

سال: 2007

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2007.02.059