Forced oscillation of sublinear impulsive differential equations via nonprincipal solution

Mostepha N., Ozbekler A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.41, sa.9, ss.3335-3344, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 9
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1002/mma.4823
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3335-3344
  • Ankara Üniversitesi Adresli: Hayır

Özet

In this paper, we give new oscillation criteria for forced sublinear impulsive differential equations of the form (r(t)x')' + q(t)vertical bar x vertical bar(gamma-1) x = f(t), t not equal theta(i); Delta r(t)x' + q(i)vertical bar x vertical bar(gamma-1) x = f(i), t = theta(i), where gamma is an element of(0, 1), under the assumption that associated homogenous linear equation (r(t)z')' + q(t)z = 0, t not equal theta(i); Delta r(t)z' + q(i)z = 0, t = theta(i). is nonoscillatory.