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Some Nonlinear Alternatives in Banach Algebras with Applications Ⅱ

B. C. Dhage
경북대학교 자연과학대학 수학과|2005.06|Kyungpook Mathematical Journal|제45권 제2호|pp. 281-292

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Abstract

In this paper a nonlinear alternative of Leray-Schauder type is proved in a Banach algebra involving three operators and it is further applied to a functional nonlinear integral equation of mixed type - for proving the existence results in Banach algebras under generalized Lipschitz and Caratheodory conditions

참고문헌 (8)

  1. "On nonlinear contractions", 20, pp.456~444 (1969)
  2. "On existence theorems for nonlinear integral equations in Banach alge-bras via xed point technique", 17, pp.33~45 (2001)
  3. "On a xed point theorem of Krasnoselskii-Shaefer type", 6, pp.1~9 (2002)
  4. "Functional Di. Equations", 7(3-4), pp.259~267 (2000)
  5. "A functional integro-dierential equation in Banach algebras", 11(3-4), pp.321~332 (2004)
  6. "Some nonlinear alternatives in Banach algebras with applications I"
  7. "Ntouyas,Existence theorems for nonlinearrst order funtional dierential equations in Banach", 10(4), pp.59~69 (2003)
  8. "Nonlinear Functional Analysis:Part I" (1985), Springer Verlag

관련 논문AI추천

A Fixed Point Theorem in Banach Algebras Involving Three Operators with ApplicationsB. C. Dhage경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호On the stability of mappings in Banach algebrasYoung Whan Lee대한수학회 · 대한수학회논문집2003 · 제18권 제2호On the Stability of the Quadratic Equation in Banach Modules over a Banach AlgebraHark-Mahn Kim, Kil-Woung Jun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호Nonlinear Functional Boundary Value Problems in Banach Algebras Involving CarathodoriesBapurao C. Dhage경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호On derivations in Banach algebras장익순, 전길웅, 정용수대한수학회 · 대한수학회보2002 · 제39권 제4호Linear Derivations Satisfying a Functional Equation on Semisimple Banach AlgebrasIck-Soon Chang, Yong-Soo Jung경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호

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