Global Asymptotic Stability of Solutions to Nonlinear Marine Riser Equation

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

Asymptotic Behavior of Solutions to the Damped Nonlinear Hyperbolic Equation

(x 1 , . . . , x n ) ∈ Rn and t > 0, k 1 > 0 and k 2 > 0 are constants. The nonlinear termf(u) = O(u1+θ) and θ is a positive integer. Equation (1) is a model in variational form for the neoHookean elastomer rod and describes the motion of a neoHookean elastomer rod with internal damping; for more detailed physical background, we refer to [1]. In [1], the authors have studied a general class of ...

متن کامل

On the Asymptotic Growth of Solutions to a Nonlinear Equation

so our results will hold for solutions of (2). We shall be primarily interested in the nonlinear oscillator, i.e. a(t)>0, xg(x)>0 for x^O, but in Theorem III below, sign restrictions are removed. If we consider h(t) to be a sample function of a Brownian motion process h{t, u) on a probability space £2, we see the motivation for considering (1). Equation (2) then represents a nonlinear oscillati...

متن کامل

BEHAVIOR OF SOLUTIONS TO A FUZZY NONLINEAR DIFFERENCE EQUATION

In this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation$$ x_{n+1}=frac{Ax_n+x_{n-1}}{B+x_{n-1}}, n=0,1,cdots,$$ where $(x_n)$ is a sequence of positive fuzzy number, $A, B$ are positive fuzzy numbers and the initial conditions $x_{-1}, x_0$ are positive fuzzy numbers.

متن کامل

Existence and Asymptotic Behavior of Global Solutions for a Class of Nonlinear Higher-Order Wave Equation

The initial boundary value problem for a class of nonlinear higher-order wave equation with damping and source term utt Au a|ut|ut b|u|q−1u in a bounded domain is studied, where A −Δ , m ≥ 1 is a nature number, and a, b > 0 and p, q > 1 are real numbers. The existence of global solutions for this problem is proved by constructing the stable sets and shows the asymptotic stability of the global ...

متن کامل

Global Existence and Asymptotic Behavior of Solutions for Some Nonlinear Hyperbolic Equation

The initial boundary value problem for a class of hyperbolic equation with nonlinear dissipative term u tt − n i1 ∂/∂x i |∂u/∂x i | p−2 ∂u/∂x i a|u t | q−2 u t b|u| r−2 u in a bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set in W 1,p 0 ΩΩ and show the asymptotic behavior of the global solutions through the use of an important l...

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 Inequalities and Applications

سال: 2010

ISSN: 1029-242X

DOI: 10.1155/2010/504670