THE MULTIPOINT PROBLEM FOR ABSTRACT SCHRODINGER EQUATIONS AND APPLICATIONS

ŞAHMUROV V., Shahmurov R.

Fixed Point Theory, vol.27, no.1, pp.419-436, 2026 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.24193/fpt-ro.2026.1.25
  • Journal Name: Fixed Point Theory
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.419-436
  • Keywords: abstract differential equations, contraction principle, Fourier multipliers, interpolation of Banach spaces, operator theory, Schrodinger equations
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

Here, multipoint problem for linear and nonlinear Schrodinger equations are studied. The equation involve linear and nonlinear operators with convolution term that defined in an abstract Hilbert space H. By assuming enough smoothness on the initial data and the operator functions, the local and global existence and uniqueness of solutions are established. We can obtain a different classes of convolution Schrodinger equations by choosing the space H and operators, which occur in a wide variety of physical systems.