Half-eigenvalues of periodic Sturm–Liouville problems

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 Principal Eigenvalues for Periodic Parabolic Steklov Problems

LetΩ be aC2+γ domain in RN ,N ≥ 2, 0 < γ < 1. LetT>0 and let L be a uniformly parabolic operator Lu= ∂u/∂t−∑i, j(∂/∂xi)(ai j(∂u/∂xj)) +∑ j b j(∂u/∂xi) + a0u, a0 ≥ 0, whose coefficients, depending on (x, t) ∈Ω×R, are T periodic in t and satisfy some regularity assumptions. Let A be the N ×N matrix whose i, j entry is ai j and let ν be the unit exterior normal to ∂Ω. Let m be a T-periodic functio...

متن کامل

Periodic and antiperiodic eigenvalues for half-linear version of Hill’s equation

The nonlinear eigenvalue problem of the differential equation ( |x′|p−2 x′ )′ + (λ+ c(t)) |x|p−2 x = 0, p > 1, with respect to the periodic boundary conditions: x(0) = x(T ), x′(0) = x′(T ), or to the antiperiodic boundary conditions: x(0) = −x(T ), x′(0) = −x′(T ) are considered. Various results on the set of eigenvalues concerning both problems are presented. Some estimates are given for the ...

متن کامل

HALF-EIGENVALUES OF SELF-ADJOINT, 2mTH ORDER DIFFERENTIAL OPERATORS AND SEMILINEAR PROBLEMS WITH JUMPING NONLINEARITIES

We consider semilinear boundary value problems of the form Lu(x) = f(x, u(x)) + h(x), x ∈ (0, π), (1) where L is a 2mth order, self-adjoint, disconjugate ordinary differential operator on [0, π], together with appropriate boundary conditions at 0 and π, while f : [0, π] × R → R is a Carathéodory function and h ∈ L2(0, π). We assume that the limits a(x) := lim ξ→∞ f(x, ξ)/ξ, b(x) := lim ξ→−∞ f(x...

متن کامل

Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem

We are concerned with the computation of eigenvalues of a periodic Sturm-Liouville problem using interpolation techniques in Paley-Wiener spaces. We shall approximate the Hill discriminant by sampling a few of its values and then find its zeroes which are the square roots of the eigenvalues. Computable error estimates are provided together with eigenvalue enclosures.

متن کامل

Half-quadratic transportation problems

We present a primal–dual memory efficient algorithm for solving a relaxed version of the general transportation problem. Our approach approximates the original cost function with a differentiable one that is solved as a sequence of weighted quadratic transportation problems. The new formulation allows us to solve differentiable, non– convex transportation problems.

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: 2004

ISSN: 0022-0396

DOI: 10.1016/j.jde.2004.05.014