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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 1,069 - 1,088 (20page)
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In this paper, some basic results concerning the existence, strict and nonstrict inequalities and existence of the maximal and minimal solutions are proved for a hybrid causal differential equation. Our results generalize some basic results of Leela and Lakshmikantham [13] and Dhage and Lakshmikantham [10] respectively for the nonlinear first order classical and hybrid differential equations.
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참고문헌 (13)
참고문헌 신청
A. Granas. / 1991 / Some general existence principles for Carathμeodory theory of nonlinear di®erential equations / J. Math. Pures et Appl 70 : 153 ~ 196
B. C. Dhage / 1994 / On ®-condensing mappings in Banach algebras / Mathematics Student 63 : 146 ~ 152
B. C. Dhage / 1999 / Fixed point theorems in ordered Banach algebras and applications / PanAmer. Math. J 9 (4) : 93 ~ 102
B. C. Dhage / 2004 / A nonlinear alternative in Banach algebras with applications to func-tional di®erential equations / Nonlinear Funct. Anal. & Appl 8 : 563 ~ 575
B. C. Dhage / 2005 / Some Nonlinear Alternatives in Banach Algebras with Applications Ⅱ / Kyungpook Mathematical Journal 45 (2) : 281 ~ 292
B. C. Dhage / 1994 / On ®-condensing mappings in Banach algebras / Mathematics Student 63 : 146 ~ 152
B. C. Dhage / 1999 / Fixed point theorems in ordered Banach algebras and applications / PanAmer. Math. J 9 (4) : 93 ~ 102
B. C. Dhage / 2004 / A nonlinear alternative in Banach algebras with applications to func-tional di®erential equations / Nonlinear Funct. Anal. & Appl 8 : 563 ~ 575
B. C. Dhage / 2005 / Some Nonlinear Alternatives in Banach Algebras with Applications Ⅱ / Kyungpook Mathematical Journal 45 (2) : 281 ~ 292
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