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Property (A) and Oscillation of Higher-Order Trinomial Differential Equations with Retarded and Advanced Arguments

Author

Listed:
  • Blanka Baculikova

    (Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia)

Abstract

In this paper, a new effective technique for the investigation of the higher-order trinomial differential equations y ( n ) ( t ) + p ( t ) y ( τ ( t ) ) + q ( t ) y ( σ ( t ) ) = 0 is established. We offer new criteria for so-called property (A) and oscillation of the considered equation. Examples are provided to illustrate the importance of our results.

Suggested Citation

  • Blanka Baculikova, 2024. "Property (A) and Oscillation of Higher-Order Trinomial Differential Equations with Retarded and Advanced Arguments," Mathematics, MDPI, vol. 12(6), pages 1-11, March.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:6:p:910-:d:1360255
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