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Third-Order Nonlinear Semi-Canonical Functional Differential Equations: Oscillation via New Canonical Transform

Author

Listed:
  • Ekambaram Chandrasekaran

    (Department of Mathematics, Veltech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai 600062, India)

  • George E. Chatzarakis

    (Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education, 15122 Marousi, Athens, Greece)

  • Radhakrishnan Sakthivel

    (Department of Mathematics, Pachaiyappa’s College, Chennai 600030, India)

  • Ethiraju Thandapani

    (Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600062, India)

Abstract

This paper focuses on the oscillatory properties of the third-order semi-canonical nonlinear delay differential equation. By using the new canonical transform method, we transformed the studied equation into a canonical-type equation, which simplified the examination of the studied equation. The obtained oscillation results are new and complement the existing results mentioned in the literature. Examples are provided to illustrate the importance and novelty of the main results.

Suggested Citation

  • Ekambaram Chandrasekaran & George E. Chatzarakis & Radhakrishnan Sakthivel & Ethiraju Thandapani, 2024. "Third-Order Nonlinear Semi-Canonical Functional Differential Equations: Oscillation via New Canonical Transform," Mathematics, MDPI, vol. 12(19), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3113-:d:1492363
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