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Volumn 2013, Issue , 2013, Pages

Almost periodic solutions for second order dynamic equations on time scales

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EID: 84888872662     PISSN: 10260226     EISSN: 1607887X     Source Type: Journal    
DOI: 10.1155/2013/784198     Document Type: Article
Times cited : (4)

References (30)
  • 1
    • 84951604495 scopus 로고
    • Analysis on measure chains - A unified approach to continuous and discrete calculus
    • 10.1007/BF03323153 MR1066641
    • Hilger S., Analysis on measure chains-a unified approach to continuous and discrete calculus. Results in Mathematics 1990 18 1-2 18 56 10.1007/BF03323153 MR1066641
    • (1990) Results in Mathematics , vol.18 , Issue.1-2 , pp. 18-56
    • Hilger, S.1
  • 2
    • 20744460217 scopus 로고    scopus 로고
    • Existence of solutions to boundary value problems for dynamic systems on time scales
    • DOI 10.1016/j.jmaa.2004.11.039, PII S0022247X04009953
    • Amster P., Rogers C., Tisdell C. C., Existence of solutions to boundary value problems for dynamic systems on time scales. Journal of Mathematical Analysis and Applications 2005 308 2 565 577 10.1016/j.jmaa.2004.11.039 MR2150108 (Pubitemid 40854775)
    • (2005) Journal of Mathematical Analysis and Applications , vol.308 , Issue.2 , pp. 565-577
    • Amster, P.1    Rogers, C.2    Tisdell, C.C.3
  • 4
    • 3242768437 scopus 로고    scopus 로고
    • Existence results for second order boundary value problem of impulsive dynamic equations on time scales
    • DOI 10.1016/j.jmaa.2004.02.057, PII S0022247X04002008
    • Benchohra M., Ntouyas S. K., Ouahab A., Existence results for second order boundary value problem of impulsive dynamic equations on time scales. Journal of Mathematical Analysis and Applications 2004 296 1 65 73 10.1016/j.jmaa.2004.02.057 MR2070493 (Pubitemid 38972277)
    • (2004) Journal of Mathematical Analysis and Applications , vol.296 , Issue.1 , pp. 65-73
    • Benchohra, M.1    Ntouyas, S.K.2    Ouahab, A.3
  • 9
    • 0003451928 scopus 로고
    • Berlin, Germany Springer Lecture Notes in Mathematics MR0460799
    • Fink A. M., Almost Periodic Differential Equations 1974 377 Berlin, Germany Springer Lecture Notes in Mathematics MR0460799
    • (1974) Almost Periodic Differential Equations , vol.377
    • Fink, A.M.1
  • 12
    • 84873077213 scopus 로고    scopus 로고
    • Translation properties of time scales and almost periodic functions
    • 10.1016/j.mcm.2012.10.018
    • Guan Y., Wang K., Translation properties of time scales and almost periodic functions. Mathematical and Computer Modelling 2013 57 5-6 1165 1174 10.1016/j.mcm.2012.10.018
    • (2013) Mathematical and Computer Modelling , vol.57 , Issue.5-6 , pp. 1165-1174
    • Guan, Y.1    Wang, K.2
  • 13
    • 80052651403 scopus 로고    scopus 로고
    • Almost periodic functions on time scales and applications
    • 727068 10.1155/2011/727068 MR2820084
    • Li Y., Wang C., Almost periodic functions on time scales and applications. Discrete Dynamics in Nature and Society 2011 2011 20 727068 10.1155/2011/727068 MR2820084
    • (2011) Discrete Dynamics in Nature and Society , vol.2011 , pp. 20
    • Li, Y.1    Wang, C.2
  • 14
    • 84555196442 scopus 로고    scopus 로고
    • Uniformly almost periodic functions and almost periodic solutions to dynamic equations on time scales
    • 341520 10.1155/2011/341520 MR2843500
    • Li Y., Wang C., Uniformly almost periodic functions and almost periodic solutions to dynamic equations on time scales. Abstract and Applied Analysis 2011 2011 22 341520 10.1155/2011/341520 MR2843500
    • (2011) Abstract and Applied Analysis , vol.2011 , pp. 22
    • Li, Y.1    Wang, C.2
  • 15
    • 0040778607 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for the oscillation of a second order linear differential equation
    • 10.1002/(SICI)1522-2616(200005)213:1<105: AID-MANA105>3.3. CO;2-D MR1755249
    • Kulenović M. R. S., Ljubović C., Necessary and sufficient conditions for the oscillation of a second order linear differential equation. Mathematische Nachrichten 2000 213 1 105 115 10.1002/(SICI)1522-2616(200005)213: 1<105::AID-MANA105>3.3.CO;2-D MR1755249
    • (2000) Mathematische Nachrichten , vol.213 , Issue.1 , pp. 105-115
    • Kulenović, M.R.S.1    Ljubović, C.2
  • 16
    • 0038169863 scopus 로고    scopus 로고
    • Existence of Nonoscillatory Solution of Second Order Linear Neutral Delay Equation
    • DOI 10.1006/jmaa.1997.6156, PII S0022247X97961564
    • Kulenović M. R. S., Hadžiomerspahić S., Existence of nonoscillatory solution of second order linear neutral delay equation. Journal of Mathematical Analysis and Applications 1998 228 2 436 448 10.1006/jmaa.1997.6156 MR1663585 (Pubitemid 128344909)
    • (1998) Journal of Mathematical Analysis and Applications , vol.228 , Issue.2 , pp. 436-448
    • Kulenovic, M.R.S.1    Hadziomerspahic, S.2
  • 17
    • 28044467994 scopus 로고    scopus 로고
    • Oscillation of second-order delay differential equations on time scales
    • DOI 10.1016/j.na.2005.01.062, PII S0362546X05000787
    • Şahiner Y., Oscillation of second-order delay differential equations on time scales. Nonlinear Analysis: Theory, Methods & Applications 2005 63 5-7 e1073 e1080 2-s2.0-28044467994 10.1016/j.na.2005.01.062 (Pubitemid 41691259)
    • (2005) Nonlinear Analysis, Theory, Methods and Applications , vol.63 , Issue.5-7
    • Sahiner, Y.1
  • 18
    • 13844254252 scopus 로고    scopus 로고
    • Oscillation criteria of second-order half-linear dynamic equations on time scales
    • DOI 10.1016/j.cam.2004.09.028, PII S0377042704004340
    • Saker S. H., Oscillation criteria of second-order half-linear dynamic equations on time scales. Journal of Computational and Applied Mathematics 2005 177 2 375 387 10.1016/j.cam.2004.09.028 MR2125325 (Pubitemid 40241942)
    • (2005) Journal of Computational and Applied Mathematics , vol.177 , Issue.2 , pp. 375-387
    • Saker, S.H.1
  • 19
    • 33750163929 scopus 로고    scopus 로고
    • Weak singularities may help periodic solutions to exist
    • DOI 10.1016/j.jde.2006.08.006, PII S0022039606003275
    • Torres P. J., Weak singularities may help periodic solutions to exist. Journal of Differential Equations 2007 232 1 277 284 10.1016/j.jde.2006.08.006 MR2281196 (Pubitemid 44597101)
    • (2007) Journal of Differential Equations , vol.232 , Issue.1 , pp. 277-284
    • Torres, P.J.1
  • 20
    • 0030268560 scopus 로고    scopus 로고
    • Periodic solutions of Liénard equations with singular forces of repulsive type
    • DOI 10.1006/jmaa.1996.0378
    • Zhang M., Periodic solutions of Liénard equations with singular forces of repulsive type. Journal of Mathematical Analysis and Applications 1996 203 1 254 269 10.1006/jmaa.1996.0378 MR1412492 (Pubitemid 126170748)
    • (1996) Journal of Mathematical Analysis and Applications , vol.203 , Issue.1 , pp. 254-269
    • Zhang, M.1
  • 21
    • 0001196155 scopus 로고
    • Infinitely many T -periodic solutions for a problem arising in nonlinear elasticity
    • 10.1006/jdeq.1993.1050 MR1221906
    • del Pino M. A., Manásevich R. F., Infinitely many T -periodic solutions for a problem arising in nonlinear elasticity,. Journal of Differential Equations 1993 103 2 260 277 10.1006/jdeq.1993.1050 MR1221906
    • (1993) Journal of Differential Equations , vol.103 , Issue.2 , pp. 260-277
    • Del Pino, M.A.1    Manásevich, R.F.2
  • 22
    • 33846912566 scopus 로고    scopus 로고
    • Nonlinearity from linearity: The Ermakov-Pinney equation revisited
    • DOI 10.1016/j.matcom.2006.10.005, PII S0378475406002631
    • Kevrekidis P. G., Drossinos Y., Nonlinearity from linearity: the Ermakov-Pinney equation revisited. Mathematics and Computers in Simulation 2007 74 2-3 196 202 10.1016/j.matcom.2006.10.005 MR2307857 (Pubitemid 46240677)
    • (2007) Mathematics and Computers in Simulation , vol.74 , Issue.2-3 , pp. 196-202
    • Kevrekidis, P.G.1    Drossinos, Y.2
  • 23
    • 3142715977 scopus 로고    scopus 로고
    • Twist character of the least amplitude periodic solution of the forced pendulum
    • DOI 10.1137/S003614100241037X
    • Lei J., Li X., Zhang M., Yan P., Twist character of the least amplitude periodic solution of the forced pendulum. SIAM Journal on Mathematical Analysis 2003 35 4 844 867 10.1137/S003614100241037X MR2049024 (Pubitemid 38920239)
    • (2004) SIAM Journal on Mathematical Analysis , vol.35 , Issue.4 , pp. 844-867
    • Lei, J.1    Li, X.2    Yan, P.3    Zhang, M.4
  • 24
    • 17844392945 scopus 로고    scopus 로고
    • (n)-almost periodic functions
    • MR1608241
    • (n)-almost periodic functions. Commentationes Mathematicae 1997 37 1 12 MR1608241
    • (1997) Commentationes Mathematicae , vol.37 , pp. 1-12
    • Adamczak, M.1
  • 25
    • 17844364853 scopus 로고    scopus 로고
    • On some classes of almost periodic functions in abstract spaces
    • DOI 10.1155/S016117120440653X
    • Bugajewski D., N'Guérékata G. M., On some classes of almost periodic functions in abstract spaces. International Journal of Mathematics and Mathematical Sciences 2004 2004 61 3237 3247 10.1155/S016117120440653X MR2130419 (Pubitemid 40588327)
    • (2004) International Journal of Mathematics and Mathematical Sciences , vol.2004 , Issue.61 , pp. 3237-3247
    • Bugajewski, D.1    N'Guerekata, G.M.2
  • 26
    • 77957361337 scopus 로고    scopus 로고
    • Necessary and sufficient criteria for the existence of exponential dichotomy on time scales
    • 10.1016/j.camwa.2010.08.034 MR2725330
    • Zhang J., Fan M., Zhu H., Necessary and sufficient criteria for the existence of exponential dichotomy on time scales. Computers & Mathematics with Applications 2010 60 8 2387 2398 10.1016/j.camwa.2010.08.034 MR2725330
    • (2010) Computers & Mathematics with Applications , vol.60 , Issue.8 , pp. 2387-2398
    • Zhang, J.1    Fan, M.2    Zhu, H.3
  • 27
    • 77950188863 scopus 로고    scopus 로고
    • Existence and roughness of exponential dichotomies of linear dynamic equations on time scales
    • 10.1016/j.camwa.2010.01.035 MR2607970
    • Zhang J., Fan M., Zhu H., Existence and roughness of exponential dichotomies of linear dynamic equations on time scales. Computers & Mathematics with Applications 2010 59 8 2658 2675 10.1016/j.camwa.2010.01.035 MR2607970
    • (2010) Computers & Mathematics with Applications , vol.59 , Issue.8 , pp. 2658-2675
    • Zhang, J.1    Fan, M.2    Zhu, H.3
  • 28
    • 27544512715 scopus 로고    scopus 로고
    • Criterions for absolute continuity on time scales
    • DOI 10.1080/10236190500272830
    • Cabada A., Vivero D. R., Criterions for absolute continuity on time scales. Journal of Difference Equations and Applications 2005 11 11 1013 1028 10.1080/10236190500272830 MR2174112 (Pubitemid 41538004)
    • (2005) Journal of Difference Equations and Applications , vol.11 , Issue.11 , pp. 1013-1028
    • Cabada, A.1    Vivero, D.R.2
  • 29
    • 84888880004 scopus 로고    scopus 로고
    • L'Hôpital-type rules for monotonicity with application to quantum calculus
    • MR2793813
    • Martins N., Torres D. F. M., L'Hôpital-type rules for monotonicity with application to quantum calculus. International Journal of Mathematics and Computation 2011 10 11 99 106 MR2793813
    • (2011) International Journal of Mathematics and Computation , vol.10 , Issue.11 , pp. 99-106
    • Martins, N.1    Torres, D.F.M.2
  • 30
    • 0004081871 scopus 로고
    • Cambridge, UK Cambridge University Press MR0493564
    • Lloyd N. G., Degree Theory 1978 Cambridge, UK Cambridge University Press MR0493564
    • (1978) Degree Theory
    • Lloyd, N.G.1


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