메뉴 건너뛰기




Volumn 252, Issue 6, 2012, Pages 3816-3847

Measure functional differential equations and functional dynamic equations on time scales

Author keywords

Continuous dependence on a parameter; Existence and uniqueness; Functional dynamic equations; Generalized ordinary differential equations; Measure functional differential equations; Periodic averaging

Indexed keywords


EID: 84855925102     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2011.11.005     Document Type: Article
Times cited : (117)

References (22)
  • 3
    • 0010681534 scopus 로고
    • Existence and stability of measure differential equations
    • Das P.C., Sharma R.R. Existence and stability of measure differential equations. Czechoslovak Math. J. 1972, 22(97):145-158.
    • (1972) Czechoslovak Math. J. , vol.22 , Issue.97 , pp. 145-158
    • Das, P.C.1    Sharma, R.R.2
  • 5
    • 0010883104 scopus 로고
    • Differential Systems Involving Impulses
    • Springer-Verlag, Berlin
    • Deo S.G., Pandit S.G. Differential Systems Involving Impulses. Lecture Notes in Math. 1982, vol. 954. Springer-Verlag, Berlin.
    • (1982) Lecture Notes in Math. , vol.954
    • Deo, S.G.1    Pandit, S.G.2
  • 6
    • 49449113178 scopus 로고    scopus 로고
    • Generalized ODE approach to impulsive retarded functional differential equations
    • Federson M., Schwabik Š. Generalized ODE approach to impulsive retarded functional differential equations. Differential Integral Equations 2006, 19(11):1201-1234.
    • (2006) Differential Integral Equations , vol.19 , Issue.11 , pp. 1201-1234
    • Federson, M.1    Schwabik, Š.2
  • 7
    • 84855939764 scopus 로고
    • Continuous dependence on a parameter of solutions of generalized differential equations
    • Fraňková D. Continuous dependence on a parameter of solutions of generalized differential equations. Čas. Pěstování Mat. 1989, 114(3):230-261.
    • (1989) Čas. Pěstování Mat. , vol.114 , Issue.3 , pp. 230-261
    • Fraňková, D.1
  • 8
    • 0010165042 scopus 로고
    • Regulated functions
    • Fraňková D. Regulated functions. Math. Bohem. 1991, 116(1):20-59.
    • (1991) Math. Bohem. , vol.116 , Issue.1 , pp. 20-59
    • Fraňková, D.1
  • 11
    • 84951604495 scopus 로고
    • Analysis on measure chains - a unified approach to continuous and discrete calculus
    • Hilger S. Analysis on measure chains - a unified approach to continuous and discrete calculus. Results Math. 1990, 18:18-56.
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 12
    • 0344147556 scopus 로고
    • Generalized ordinary differential equations in Banach spaces and applications to functional equations
    • Imaz C., Vorel Z. Generalized ordinary differential equations in Banach spaces and applications to functional equations. Bol. Soc. Mat. Mexicana 1966, 11:47-59.
    • (1966) Bol. Soc. Mat. Mexicana , vol.11 , pp. 47-59
    • Imaz, C.1    Vorel, Z.2
  • 13
    • 2942550900 scopus 로고
    • A system of abstract measure delay differential equations
    • Joshi S.R. A system of abstract measure delay differential equations. J. Math. Phys. Sci. 1979, 13:497-506.
    • (1979) J. Math. Phys. Sci. , vol.13 , pp. 497-506
    • Joshi, S.R.1
  • 14
    • 79959237320 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions to systems of delay dynamic equations on time scales
    • Karpuz B. Existence and uniqueness of solutions to systems of delay dynamic equations on time scales. Int. J. Math. Comput. 2011, 10(M11):48-58.
    • (2011) Int. J. Math. Comput. , vol.10 , Issue.M11 , pp. 48-58
    • Karpuz, B.1
  • 15
    • 0001227444 scopus 로고
    • Generalized ordinary differential equations and continuous dependence on a parameter
    • Kurzweil J. Generalized ordinary differential equations and continuous dependence on a parameter. Czechoslovak Math. J. 1957, 7(82):418-448.
    • (1957) Czechoslovak Math. J. , vol.7 , Issue.82 , pp. 418-448
    • Kurzweil, J.1
  • 16
    • 77954407511 scopus 로고    scopus 로고
    • Delay dynamic equations on time scales
    • Liu X., Wang W., Wu J. Delay dynamic equations on time scales. Appl. Anal. 2010, 89(8):1241-1249.
    • (2010) Appl. Anal. , vol.89 , Issue.8 , pp. 1241-1249
    • Liu, X.1    Wang, W.2    Wu, J.3
  • 17
    • 80255123260 scopus 로고    scopus 로고
    • Periodic averaging theorems for various types of equations
    • G.Mesquita J., Slavík A. Periodic averaging theorems for various types of equations. J. Math. Anal. Appl. 2012, 387:862-877.
    • (2012) J. Math. Anal. Appl. , vol.387 , pp. 862-877
    • G.Mesquita, J.1    Slavík, A.2
  • 18
    • 0344578963 scopus 로고
    • Functional equations and generalized ordinary differential equations
    • Oliva F., Vorel Z. Functional equations and generalized ordinary differential equations. Bol. Soc. Mat. Mexicana 1966, 11:40-46.
    • (1966) Bol. Soc. Mat. Mexicana , vol.11 , pp. 40-46
    • Oliva, F.1    Vorel, Z.2
  • 19
    • 0040318809 scopus 로고
    • Generalized Ordinary Differential Equations
    • World Scientific, Singapore
    • Schwabik Š. Generalized Ordinary Differential Equations. Ser. Real Anal. 1992, vol. 5. World Scientific, Singapore.
    • (1992) Ser. Real Anal. , vol.5
    • Schwabik, Š.1
  • 21
    • 84968512364 scopus 로고
    • An abstract measure differential equation
    • Sharma R.R. An abstract measure differential equation. Proc. Amer. Math. Soc. 1972, 32:503-510.
    • (1972) Proc. Amer. Math. Soc. , vol.32 , pp. 503-510
    • Sharma, R.R.1
  • 22
    • 80051801793 scopus 로고    scopus 로고
    • Dynamic equations on time scales and generalized ordinary differential equations
    • Slavík A. Dynamic equations on time scales and generalized ordinary differential equations. J. Math. Anal. Appl. 2012, 385:534-550.
    • (2012) J. Math. Anal. Appl. , vol.385 , pp. 534-550
    • Slavík, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.