메뉴 건너뛰기




Volumn 111, Issue 1, 2001, Pages 107-125

Periodic and boundary value problems for second order differential equations

Author keywords

Arzela Ascoli theorem; Caratheodory function; Compact embedding; Dunford Pettis theorem; Extremal solution; Lower solution; Order interval; Penalty function; Periodic problem; Sobolev space; Sturm Liouville boundary conditions; Truncation map; Upper solution

Indexed keywords


EID: 0035248016     PISSN: 02534142     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02829543     Document Type: Article
Times cited : (5)

References (21)
  • 4
    • 38249017339 scopus 로고
    • Extremal solutions of second order nonlinear periodic boundary value problems
    • Cabada A and Nieto J, Extremal solutions of second order nonlinear periodic boundary value problems, Appl. Math. Comp. 40 (1990) 135-145
    • (1990) Appl. Math. Comp. , vol.40 , pp. 135-145
    • Cabada, A.1    Nieto, J.2
  • 7
    • 0001063399 scopus 로고
    • On a nonlinear second order periodic boundary value problem with Caratheodory functions
    • Gao W and Wang J, On a nonlinear second order periodic boundary value problem with Caratheodory functions, Ann. Polon. Math. LXII (1995) 283-291
    • (1995) Ann. Polon. Math. , vol.62 , pp. 283-291
    • Gao, W.1    Wang, J.2
  • 10
    • 38249010933 scopus 로고
    • Fixed point results in ordered normed spaces with applications to abstract and differential equations
    • Heikkila S, Lakshmikantham V and Sun Y, Fixed point results in ordered normed spaces with applications to abstract and differential equations, J. Math. Anal. Appl. 163 (1992) 422-437
    • (1992) J. Math. Anal. Appl. , vol.163 , pp. 422-437
    • Heikkila, S.1    Lakshmikantham, V.2    Sun, Y.3
  • 11
    • 0000663491 scopus 로고
    • On fixed points of multifunctions in ordered spaces
    • Heikkila S and Hu S, On fixed points of multifunctions in ordered spaces, Appl. Anal. 51 (1993) 115-127
    • (1993) Appl. Anal. , vol.51 , pp. 115-127
    • Heikkila, S.1    Hu, S.2
  • 13
    • 0021391009 scopus 로고
    • Remarks on first and second order periodic boundary value problems
    • Lakshmikantham V and Leela S, Remarks on first and second order periodic boundary value problems, Nonl. Anal. - TMA 8 (1984) 281-287
    • (1984) Nonl. Anal. - TMA , vol.8 , pp. 281-287
    • Lakshmikantham, V.1    Leela, S.2
  • 14
    • 0020733474 scopus 로고
    • Monotone method for second order periodic boundary value problems
    • Leela S, Monotone method for second order periodic boundary value problems, Nonl. Anal. -TMA 7 (1983) 349-355
    • (1983) Nonl. Anal. -TMA , vol.7 , pp. 349-355
    • Leela, S.1
  • 15
    • 85025388519 scopus 로고
    • Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
    • Mönch H, Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces, Nonl. Anal. - TMA 4 (1980) 985-999
    • (1980) Nonl. Anal. - TMA , vol.4 , pp. 985-999
    • Mönch, H.1
  • 16
    • 84963173826 scopus 로고
    • Nonlinear second order periodic value problems with Caratheodory functions
    • Nieto J, Nonlinear second order periodic value problems with Caratheodory functions, Appl. Anal 34 (1989) 111-128
    • (1989) Appl. Anal , vol.34 , pp. 111-128
    • Nieto, J.1
  • 17
    • 0003200505 scopus 로고
    • A generalized upper and lower solutions method for nonlinear second order ordinary differential equations
    • Nieto J and Cabada A, A generalized upper and lower solutions method for nonlinear second order ordinary differential equations, J. Appl. Math. Stoch. Anal. 5 (1992) 157-166
    • (1992) J. Appl. Math. Stoch. Anal. , vol.5 , pp. 157-166
    • Nieto, J.1    Cabada, A.2
  • 18
    • 0000204248 scopus 로고
    • A generalized upper and lower solutions method and multiplicity results for nonlinear first-order ordinary differential equations
    • Nkashama MN, A generalized upper and lower solutions method and multiplicity results for nonlinear first-order ordinary differential equations, J. Math. Anal. Appl. 140 (1989) 381-395
    • (1989) J. Math. Anal. Appl. , vol.140 , pp. 381-395
    • Nkashama, M.N.1
  • 19
    • 38249041561 scopus 로고
    • A monotone method for constructing extremal solutions of second order scalar boundary value problems
    • Omari P, A monotone method for constructing extremal solutions of second order scalar boundary value problems, Appl. Math. Comp. 18 (1986) 257-275
    • (1986) Appl. Math. Comp. , vol.18 , pp. 257-275
    • Omari, P.1
  • 20
    • 38249011459 scopus 로고
    • Remarks on the lower and upper solutions method for second- and third-order periodic boundary value problems
    • Omari P and Trombetta M, Remarks on the lower and upper solutions method for second- and third-order periodic boundary value problems, Appl. Math. Comp. 50 (1992) 1-21
    • (1992) Appl. Math. Comp. , vol.50 , pp. 1-21
    • Omari, P.1    Trombetta, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.