Nonlinear Differential Equations with Forcing Terms

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

On second order differential equations with highly oscillatory forcing terms

We present a method to compute efficiently solutions of systems of ordinary differential equations that possess highly oscillatory forcing terms. This approach is based on asymptotic expansions in inverse powers of the oscillatory parameter, and features two fundamental advantages with respect to standard ODE solvers: firstly, the construction of the numerical solution is more efficient when th...

متن کامل

Differential equations with general highly oscillatory forcing terms

The concern of this paper is in expanding and computing initial-value problems of the form y′ = f(y) + hω(t) where the function hω oscillates rapidly for ω 1. Asymptotic expansions for such equations are well understood in the case of modulated Fourier oscillators hω(t) = ∑ m am(t)e imωt and they can be used as an organising principle for very accurate and affordable numerical solvers. However,...

متن کامل

Resonant forcing of nonlinear systems of differential equations.

We study resonances of nonlinear systems of differential equations, including but not limited to the equations of motion of a particle moving in a potential. We use the calculus of variations to determine the minimal additive forcing function that induces a desired terminal response, such as an energy in the case of a physical system. We include the additional constraint that only select degree...

متن کامل

Linear Partial Differential Equations with Random Forcing

where (0 l ) is the ensemble-averaging operation. The higher order moments can be determined by forming the ensemble average of different combinations of u(x, t) with the help of (1.4). Unfortunately, the Green’s function, G(x, t ; x’, t’), of (l.l), (1.2) and (1.3) cannot be obtained in terms of elementary or special functions except for the simplest cases. In general, we will have to obtain G...

متن کامل

Boundedness of Solutions to Fourth Order Differential Equations with Oscillatory Restoring and Forcing Terms

This article concerns the fourth order differential equation x + ax′′′ + bx′′ + g(x′) + h(x) = p(t). Using the Cauchy formula for the particular solution of non-homogeneous linear differential equations with constant coefficients, we prove that the solution and its derivatives up to order three are bounded.

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: Proceedings of the American Mathematical Society

سال: 1964

ISSN: 0002-9939

DOI: 10.2307/2034593