메뉴 건너뛰기




Volumn 48, Issue 3-4, 2004, Pages 637-648

Second-order periodic boundary value problems on time scales

Author keywords

Dynamic equations; Periodic boundary conditions; Upper and lower solutions

Indexed keywords

BOUNDARY CONDITIONS; GREEN'S FUNCTION; INTEGRATION; LINEAR EQUATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 10644261242     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2002.04.005     Document Type: Article
Times cited : (22)

References (23)
  • 1
    • 0346881057 scopus 로고    scopus 로고
    • Green's functions and comparison theorems for differential for differential equations on measure chains
    • L. Erbe and A. Peteraon, Green's functions and comparison theorems for differential for differential equations on measure chains, Dynam. Contin. Discrete Impuls. Systems 6 (1), 121-137, (1999).
    • (1999) Dynam. Contin. Discrete Impuls. Systems , vol.6 , Issue.1 , pp. 121-137
    • Erbe, L.1    Peteraon, A.2
  • 2
    • 0036538017 scopus 로고    scopus 로고
    • On Green's functions and positive solutions for baundary value problems on time scales
    • to appear
    • F. Merdivenci Atici and G.Sh. Guseinov, On Green's functions and positive solutions for baundary value problems on time scales, J. Comput. Appl. Math, (to appear).
    • J. Comput. Appl. Math
    • Atici, F.M.1    Guseinov, G.Sh.2
  • 3
    • 10644247125 scopus 로고
    • Dynamic systems on time scales and superlinear convergence of iterative process
    • S. Leela and S. Sivasundaram, Dynamic systems on time scales and superlinear convergence of iterative process, WSSIAA 3, 431-436, (1994).
    • (1994) WSSIAA , vol.3 , pp. 431-436
    • Leela, S.1    Sivasundaram, S.2
  • 4
    • 0001737580 scopus 로고
    • Monotone iterative method for dynamic systems on time scales
    • B. Kaymakcalan, Monotone iterative method for dynamic systems on time scales, Dynamic Systems and Appl. 2, 213-220, (1993).
    • (1993) Dynamic Systems and Appl. , vol.2 , pp. 213-220
    • Kaymakcalan, B.1
  • 5
    • 0003078471 scopus 로고    scopus 로고
    • Boundary value problems for a differential equation on measure chain
    • E. Akin, Boundary value problems for a differential equation on measure chain, Panam. Math. J. 10 (3), 17-30, (2000).
    • (2000) Panam. Math. J. , vol.10 , Issue.3 , pp. 17-30
    • Akin, E.1
  • 6
    • 10644267116 scopus 로고    scopus 로고
    • The method of upper and lower solutions for discrete second order periodic boundary value problems
    • to appear
    • F. Merdivenci Atici and A. Cabada, The method of upper and lower solutions for discrete second order periodic boundary value problems, Adv. Diff. Eq. IV, Comput. Math. Appl. (to appear).
    • Adv. Diff. Eq. IV, Comput. Math. Appl.
    • Atici, F.M.1    Cabada, A.2
  • 7
    • 0000897558 scopus 로고    scopus 로고
    • Positive periodic solutions for nonlinear difference equations with periodic coefficients
    • F. Merdivenci Atici and G.Sh. Guseinov, Positive periodic solutions for nonlinear difference equations with periodic coefficients, J. Math. Anal. Appl. 232, 166-182, (1999).
    • (1999) J. Math. Anal. Appl. , vol.232 , pp. 166-182
    • Atici, F.M.1    Guseinov, G.Sh.2
  • 8
    • 0033211011 scopus 로고    scopus 로고
    • An existence result for nonlinear second order periodic boundary value problems with lower and upper solutions in inverse order
    • A. Cabada and S. Lois, An existence result for nonlinear second order periodic boundary value problems with lower and upper solutions in inverse order, J. Comput. Appl. Math. 110 (1), 105-114, (1999).
    • (1999) J. Comput. Appl. Math. , vol.110 , Issue.1 , pp. 105-114
    • Cabada, A.1    Lois, S.2
  • 9
    • 0025495231 scopus 로고
    • A generalization of the monotone iterative technique for nonlinear second order periodic boundary value problems
    • A. Cabada and J. Nieto, A generalization of the monotone iterative technique for nonlinear second order periodic boundary value problems, J. Math. Appl. 151, 181-189, (1990).
    • (1990) J. Math. Appl. , vol.151 , pp. 181-189
    • Cabada, A.1    Nieto, J.2
  • 10
    • 0000934317 scopus 로고
    • The method of lower and upper solutions for second, third, fourth and higher order boundary value problems
    • A. Cabada, The method of lower and upper solutions for second, third, fourth and higher order boundary value problems, J. Math. Anal. Appl. 185, 302-320, (1994).
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 302-320
    • Cabada, A.1
  • 11
    • 0023960948 scopus 로고    scopus 로고
    • Nonlinear second-order periodic boundary value problems
    • J.J. Nieto, Nonlinear second-order periodic boundary value problems, J. Math. Anal. Appl. 130, 22-29.
    • J. Math. Anal. Appl. , vol.130 , pp. 22-29
    • Nieto, J.J.1
  • 12
    • 38249018935 scopus 로고
    • Remarks on J.J. Nieto's paper: Nonlinear second-order periodic boundary value problems
    • B. Rudolf and Z. Kubadek, Remarks on J.J. Nieto's paper: Nonlinear second-order periodic boundary value problems, J. Math. AnaL Appl. 146, 203-206, (1990).
    • (1990) J. Math. AnaL Appl. , vol.146 , pp. 203-206
    • Rudolf, B.1    Kubadek, Z.2
  • 13
    • 0030380041 scopus 로고    scopus 로고
    • Monotone methods for a discrete boundary problem
    • W. Zhuang, Y. Chen and S.S. Cheng, Monotone methods for a discrete boundary problem, Computers Math. Applic 32 (12), 41-49, (1996).
    • (1996) Computers Math. Applic , vol.32 , Issue.12 , pp. 41-49
    • Zhuang, W.1    Chen, Y.2    Cheng, S.S.3
  • 14
    • 0002864092 scopus 로고    scopus 로고
    • Basic calculus on time scales and some of its applications
    • R.P. Agarwal and M. Bohner, Basic calculus on time scales and some of its applications, Results Math. 35 (1-2), 3-22, (1999).
    • (1999) Results Math. , vol.35 , Issue.1-2 , pp. 3-22
    • Agarwal, R.P.1    Bohner, M.2
  • 15
    • 0033834427 scopus 로고    scopus 로고
    • Positive solutions for a nonlinear differential equation on a measure chain
    • L. Erbe and A. Peterson, Positive solutions for a nonlinear differential equation on a measure chain, Math. Compvt. Modelling 32 (5/6), 571-586, (2000).
    • (2000) Math. Compvt. Modelling , vol.32 , Issue.5-6 , pp. 571-586
    • Erbe, L.1    Peterson, A.2
  • 17
    • 38249007261 scopus 로고
    • Existence and comparison results for dynamic systems on a time scale
    • B. Kaymakcalan, Existence and comparison results for dynamic systems on a time scale, J. Math. Anal. Appl. 172, 243-255, (1991).
    • (1991) J. Math. Anal. Appl. , vol.172 , pp. 243-255
    • Kaymakcalan, B.1
  • 20
    • 0001028781 scopus 로고    scopus 로고
    • Differential and difference calculus-unified!
    • S. Hilger, Differential and difference calculus-unified!, Nonlinear Analysis 30 (5), 2683-2694, (1997).
    • (1997) Nonlinear Analysis , vol.30 , Issue.5 , pp. 2683-2694
    • Hilger, S.1
  • 23
    • 0034216263 scopus 로고    scopus 로고
    • th order periodic boundary value difference equations
    • th order periodic boundary value difference equations, J. Math. Anal App. 247 (1), 67-86, (2000).
    • (2000) J. Math. Anal App. , vol.247 , Issue.1 , pp. 67-86
    • Cabada, A.1    Espinar, V.O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.