Integral inequalities and mild solutions of semilinear neutral evolution equations

Dauer J. P., Mahmudov N.

Journal of Mathematical Analysis and Applications, vol.300, no.1, pp.189-202, 2004 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 300 Say: 1
  • Nəşr tarixi: 2004
  • Doi nömrəsi: 10.1016/j.jmaa.2004.06.040
  • jurnalın adı: Journal of Mathematical Analysis and Applications
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.189-202
  • Açar sözlər: Integral inequalities, Krasnoselski-Schaefer fixed point theorem, Nonlocal Cauchy problem, Semilinear neutral evolution equation
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

Existence of mild solutions to semilinear neutral evolution equations with nonlocal conditions is proved. The result is obtained by using fractional power of operators, Krasnoselski-Schaefer type fixed point theorem and by applying a modification of the Bihari type inequality to the case of singular integral inequality. An application to partial differential equations is given. © 2004 Elsevier Inc. All rights reserved.