On the hyperbolic partial difference equations and their oscillatory properties

Institute of Mathematics, Poznan University of Technology, Piotrowo 3a, 60-965 Poznan, Poland

Abstract. For the solutions of hyperbolic partial difference equation

D²_/1,2 y(m,n) = a(m,n) y(m,n)

satisfying some boundary conditions an analytical formula is presented. The solutions are then studied in relation to their oscillatory properties.

1991 Mathematics Subject Classification. 39A10.

Key words and phrases. Hyperbolic partial difference equation, boundary value problem, oscillation.

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