메뉴 건너뛰기




Volumn 28, Issue 11, 1997, Pages 1759-1767

A new extension of classical Müller's theorem

Author keywords

Carath odory functions; M ller's theorem; Upper and lower solutions

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; MATHEMATICAL TECHNIQUES; PROBLEM SOLVING; SET THEORY; VECTORS;

EID: 0031167112     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(95)00236-O     Document Type: Article
Times cited : (20)

References (17)
  • 1
    • 0003327189 scopus 로고
    • Uber das fundamentaltheorem in der theorie der gewohnlichen differentialgleichungen
    • MÜLLER M., Uber das Fundamentaltheorem in der Theorie der gewohnlichen Differentialgleichungen, Math. Z. 26, 619-645 (1926).
    • (1926) Math. Z. , vol.26 , pp. 619-645
    • Müller, M.1
  • 2
    • 0041605551 scopus 로고
    • Existence and comparison theorems for differential equations in Banach spaces
    • DEIMLING K. & LAKSHMIKANTHAM V., Existence and comparison theorems for differential equations in Banach spaces, Nonlinear Analysis 3, 569-575 (1979).
    • (1979) Nonlinear Analysis , vol.3 , pp. 569-575
    • Deimling, K.1    Lakshmikantham, V.2
  • 3
    • 0042106455 scopus 로고
    • Existence theorems for a class of functional differential systems
    • LADDE G. S. & PACHPATTE B. G., Existence theorems for a class of functional differential systems, J. math. Anal. Appl. 90, 381-392 (1982).
    • (1982) J. Math. Anal. Appl. , vol.90 , pp. 381-392
    • Ladde, G.S.1    Pachpatte, B.G.2
  • 4
    • 0002826714 scopus 로고    scopus 로고
    • Extension of the method of upper and lower solutions for discontinuous differential equations
    • (To appear.)
    • HEIKKILA S. & LAKSHMIKANTHAM V., Extension of the method of upper and lower solutions for discontinuous differential equations, Diff Eqns and Dyn. Syst. (To appear.)
    • Diff Eqns and Dyn. Syst.
    • Heikkila, S.1    Lakshmikantham, V.2
  • 5
    • 0039090975 scopus 로고
    • Comparison theorems in hereditary structures and applications
    • MARCELLI C., Comparison theorems in hereditary structures and applications, J. math. Anal. Appl. 196, 1073-1092 (1995).
    • (1995) J. Math. Anal. Appl. , vol.196 , pp. 1073-1092
    • Marcelli, C.1
  • 6
    • 85030037164 scopus 로고    scopus 로고
    • On the method of upper and lower solutions under Carathéodory assumptions
    • (To appear.)
    • MARCELLI C., On the method of upper and lower solutions under Carathéodory assumptions, Atti Semin. mat. fis. Univ. Modena, (To appear.)
    • Atti Semin. Mat. Fis. Univ. Modena
    • Marcelli, C.1
  • 7
  • 8
    • 38149008485 scopus 로고
    • Multivalued differential equations on graphs
    • BOTHE D., Multivalued differential equations on graphs, Nonlinear Analysis 18, 245-252 (1992).
    • (1992) Nonlinear Analysis , vol.18 , pp. 245-252
    • Bothe, D.1
  • 10
    • 0040228374 scopus 로고    scopus 로고
    • Extremal solutions and Gronwall inequality in functional setting
    • BRANDI P. & MARCELLI C., Extremal solutions and Gronwall inequality in functional setting, Boll. Un. mat. Ital. (7) X-B, 233-254 (1996).
    • (1996) Boll. Un. Mat. Ital. , vol.X-B , Issue.7 , pp. 233-254
    • Brandi, P.1    Marcelli, C.2
  • 12
    • 0011683282 scopus 로고
    • Quasi-solutions and their role in the qualitative theory of differential equations
    • DEIMLING K. & LAKSHMIKANTHAM V., Quasi-solutions and their role in the qualitative theory of differential equations, Nonlinear Analysis 4, 657-663 (1980).
    • (1980) Nonlinear Analysis , vol.4 , pp. 657-663
    • Deimling, K.1    Lakshmikantham, V.2
  • 13
    • 0011620878 scopus 로고
    • Quasi-solutions and monotone methods for systems of nonlinear boundary value problems
    • LAKSHMIKANTHAM V. & VATSALA A. S., Quasi-solutions and monotone methods for systems of nonlinear boundary value problems, J. math. Anal. Appl. 79, 38-47 (1981).
    • (1981) J. Math. Anal. Appl. , vol.79 , pp. 38-47
    • Lakshmikantham, V.1    Vatsala, A.S.2
  • 14
    • 0007247767 scopus 로고
    • Applications of the monotone-iterative techniques of V. Lakshmikantham to the solution of the initial value problem for functional differential equations
    • HRISTOVA S. G. & BAINOV D. D., Applications of the monotone-iterative techniques of V. Lakshmikantham to the solution of the initial value problem for functional differential equations, Le matematiche 44, 227-236 (1989).
    • (1989) Le Matematiche , vol.44 , pp. 227-236
    • Hristova, S.G.1    Bainov, D.D.2
  • 15
    • 0004296823 scopus 로고
    • On existence of extremal solutions of differential equations in Banach spaces
    • DEIMLING K. & LAKSHMIKANTHAM V., On existence of extremal solutions of differential equations in Banach spaces, Nonlinear Analysis 3, 563-568 (1979).
    • (1979) Nonlinear Analysis , vol.3 , pp. 563-568
    • Deimling, K.1    Lakshmikantham, V.2
  • 17
    • 38249026315 scopus 로고
    • Existence, uniqueness and continuous dependence for hereditary differential equations
    • BRANDI P. & CEPPITELLI R., Existence, uniqueness and continuous dependence for hereditary differential equations, J. diff. Eqns 81, 317-339 (1989).
    • (1989) J. Diff. Eqns , vol.81 , pp. 317-339
    • Brandi, P.1    Ceppitelli, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.