Atıf İçin Kopyala
ÇAKAN Ü., OZDEMIR I.
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.53, sa.2, ss.256-288, 2016 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
53
Sayı:
2
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Basım Tarihi:
2016
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Doi Numarası:
10.1556/012.2016.53.2.1332
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Dergi Adı:
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.256-288
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Anahtar Kelimeler:
Nonlinear integral equations, measure of noncompactness, asymptotic stability, Darbo fixed-point theorem, Riemann-Liouville fractional integral, NONDECREASING SOLUTIONS, MONOTONIC SOLUTIONS, LOCAL ATTRACTIVITY, VOLTERRA TYPE, ABEL TYPE, EXISTENCE, NONCOMPACTNESS, BEHAVIOR, SOLVABILITY
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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 asymptotically stable solutions of some nonlinear functional integral equations in the space of continuous and bounded functions on R+ = [ 0,infinity). We also give some examples satisfying the conditions our existence theorem.