On a nonlinear eigenvalue problem


Hasanov M., Cesur Y.

INTEGRAL EQUATIONS AND OPERATOR THEORY, cilt.29, sa.4, ss.491-500, 1997 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 29 Konu: 4
  • Basım Tarihi: 1997
  • Dergi Adı: INTEGRAL EQUATIONS AND OPERATOR THEORY
  • Sayfa Sayıları: ss.491-500

Özet

In the present paper we consider a self-adjoint and nonsmooth operator-valued function on (c, d) subset of R-1. We suppose that the equation (L(alpha)x, x) = 0, x not equal 0, has exactly one root p(x) is an element of (c, d) and the function f(alpha) = (L(alpha)x, x) is increasing at the point p(x). We discuss questions of the variational theory of the spectrum. Some theorems on the variational properties of the spectrum are proved.