Oscillation theory for impulsive partial difference equations

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Atıf İçin Kopyala

Agarwal R. P., KARAKOÇ F.

Communications in Applied Analysis, cilt.14, sa.1, ss.59-72, 2010 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 14 Sayı: 1
• Basım Tarihi: 2010
• Dergi Adı: Communications in Applied Analysis
• Derginin Tarandığı İndeksler: Scopus, zbMATH
• Sayfa Sayıları: ss.59-72
• Anahtar Kelimeler: Continuous variable, Impulsive differential equation, Oscillation, Partial difference equation
• Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we consider impulsive partial difference equation with continuous variables of the form p1z(x + a, y + b) + p2z(x + a, y) + p3z(x, y + b)- p4z(x, y) + P(x, y)z(x - τ, y) + Q(x, y)z(x, y - σ) + R(x, y)z(x - τ, y - σ) = 0, (x,y) ∈ (ℝ+ × ℝ+)\J, z(xn +, y) - z(xn-, y) = Lnz(x n-, Y), (xn, y) ∈ J. Sufficient conditions for all solutions of this equation to be oscillatory are established. © Dynamic Publishers, Inc.