THE SOLVABILITY OF SOME NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS

OZDEMIR I., ÇAKAN Ü.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.53, sa.1, ss.7-21, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1556/012.2015.1322
  • Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.7-21
  • Anahtar Kelimeler: Nonlinear integral equations, measure of noncompactness, Darbo fixed point theorem, EXISTENCE
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, using a Darbo type fixed point theorem associated with the measure of noncompactness we prove a theorem on the existence of solutions of some nonlinear functional integral equations in the space of continuous functions on interval [0, a]. We give also some examples which show that the obtained results are applicable.