Critical eigenvalues for a nonlinear problem

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

Definition of Eigenvalues for a Nonlinear System

In this paper the concept of eigenvalues and eigenvectors of nonlinear systems, both continuousand discrete-time, is suggested. It represents a generalization of the concept known from linear control theory. Some basic properties, like invariance of eigenvalues under a (nonlinear) change of coordinates, possibility to transform the system to the diagonal form and, respectively, to the feedforwa...

متن کامل

An optimal partition problem related to nonlinear eigenvalues ∗

We extend to the case of many competing densities the results of the paper [7]. More precisely, we are concerned with an optimal partition problem in N -dimensional domains related to the method of nonlinear eigenvalues introduced by Z. Nehari, [16]. We prove existence of the minimal partition and some extremality conditions. Moreover, in the case of two–dimensional domains we give an asymptoti...

متن کامل

Monodromy problem for the degenerate critical points

For the polynomial planar vector fields with a hyperbolic or nilpotent critical point at the origin, the monodromy problem has been solved, but for the strongly degenerate critical points this problem is still open. When the critical point is monodromic, the stability problem or the center- focus problem is an open problem too. In this paper we will consider the polynomial planar vector fields ...

متن کامل

Extremal Eigenvalues for a Sturm-Liouville Problem

We consider the fourth order boundary value problem (ry′′)′′+(py′)′+ qy = λwy, y(a) = y′(a) = y(b) = y′(b) = 0, which is used in a variety of physical models. For such models, the extremal values of the smallest eigenvalue help answer certain optimization problems, such as maximizing the fundamental frequency of a vibrating elastic system or finding the tallest column that will not buckle under...

متن کامل

Variational Principles for Eigenvalues of Nonlinear Eigenproblems

Variational principles are very powerful tools when studying self-adjoint linear operators on a Hilbert spaceH. Bounds for eigenvalues, comparison theorems, interlacing results and monotonicity of eigenvalues can be proved easily with these characterizations, to name just a few. In this paper we consider generalization of these principles to families of linear, self-adjoint operators depending ...

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: Nonlinear Differential Equations and Applications

سال: 2004

ISSN: 1021-9722,1420-9004

DOI: 10.1007/s00030-003-1062-5