A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis with Two-Point Integral Boundary Conditions

  • O. Ya. Mylyo
  • O. G. Storozh

Abstract

We prove that a differential boundary operator of the Sturm–Liouville type on a semiaxis with two-point integral boundary conditions that acts in the Hilbert space L 2(0, ∞) is closed and densely defined. The adjoint operator is constructed. We also establish criteria for the maximal dissipativity and maximal accretivity of this operator.
Published
25.11.2002
How to Cite
MylyoO. Y., and StorozhO. G. “A Differential Boundary Operator of the Sturm–Liouville Type on a Semiaxis With Two-Point Integral Boundary Conditions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 11, Nov. 2002, pp. 1480-5, https://umj.imath.kiev.ua/index.php/umj/article/view/4186.
Section
Research articles