On positive solutions for a nonlinear boundary value problem with impulse

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Bereketoglu H., Huseynov A.

CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.56, sa.1, ss.247-265, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1007/s10587-006-0015-7
  • Dergi Adı: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.247-265
  • Anahtar Kelimeler: impulse conditions, Green's function, completely continuous operator, fixed point theorem in cones, DIFFERENTIAL-EQUATIONS, EXISTENCE
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we study nonlinear second order differential equations subject to separated linear boundary conditions and to linear impulse conditions. Sign properties of an associated Green's function are investigated and existence results for positive solutions of the nonlinear boundary value problem with impulse are established. Upper and lower bounds for positive solutions are also given.