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

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

Mathematics, 2024, vol. 12, issue 6, 1-11

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.

Keywords: higher-order differential equations; retarded and advanced argument; oscillation; property (A); trinomial equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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