Impulsive Fractal Sturm–Liouville Equations

Allahverdiyev B., TUNA H., Khalili Golmankhaneh A.

International Conference on Nonlinear Analysis and Computational Techniques, ICNACT 2024, Bhopal, India, 8 - 10 August 2024, vol.501 PROMS, pp.187-205, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Volume: 501 PROMS
  • Doi Number: 10.1007/978-981-96-6038-4_13
  • City: Bhopal
  • Country: India
  • Page Numbers: pp.187-205
  • Keywords: Discontinuous equations, Eigenfunction expansions, Fractal differential equations, Green’s functions
  • Open Archive Collection: Conference Paper
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this study, impulsive fractal Sturm–Liouville problems are considered. Firstly, the symmetric operator corresponding to the problem is obtained. Later, an existence theorem is proved. Finally, an eigenfunction expansion is obtained.