Principal and nonprincipal solutions of impulsive differential equations with applications

ÖZBEKLER A., Zafer A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.216, sa.4, ss.1158-1168, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 216 Sayı: 4
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.amc.2010.02.008
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1158-1168
  • Anahtar Kelimeler: Principal, Nonprincipal, Polya factorization, Trench factorization, Impulse, Second order, 2ND-ORDER, OSCILLATION
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We introduce the concept of principal and nonprincipal solutions for second order differential equations having fixed moments of impulse actions is obtained. The arguments are based on Polya and Trench factorizations as in non-impulsive differential equations, so we first establish these factorizations. Making use of the existence of nonprincipal solutions we also establish new oscillation criteria for nonhomogeneous impulsive differential equations. Examples are provided with numerical simulations to illustrate the relevance of the results. (C) 2010 Elsevier Inc. All rights reserved.