메뉴 건너뛰기




Volumn 220, Issue , 2013, Pages 221-225

Some nonlinear dynamic integral inequalities on time scales

Author keywords

Integral inequality; Mixed nonlinearities; Time scale

Indexed keywords

DYNAMIC EQUATIONS; EXPLICIT BOUNDS; INTEGRAL INEQUALITIES; TIME-SCALES;

EID: 84880064933     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2013.06.036     Document Type: Article
Times cited : (35)

References (23)
  • 1
    • 84951604495 scopus 로고
    • Analysis on measure chains-A unified approach to continuous and discrete calculus
    • S. Hilger Analysis on measure chains-a unified approach to continuous and discrete calculus Results Math. 18 1990 18 56
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 5
    • 33645960633 scopus 로고    scopus 로고
    • Some new dynamic inequalities on time scales
    • DOI 10.1016/j.jmaa.2005.06.065, PII S0022247X05006141
    • W.N. Li Some new dynamic inequalities on time scales J. Math. Anal. Appl. 319 2006 802 814 (Pubitemid 43591926)
    • (2006) Journal of Mathematical Analysis and Applications , vol.319 , Issue.2 , pp. 802-814
    • Li, W.N.1
  • 6
    • 57749176165 scopus 로고    scopus 로고
    • Some Pachpatte type inequalities on time scales
    • W.N. Li Some Pachpatte type inequalities on time scales Comput. Math. Appl. 57 2009 275 282
    • (2009) Comput. Math. Appl. , vol.57 , pp. 275-282
    • Li, W.N.1
  • 7
    • 84867574455 scopus 로고    scopus 로고
    • Lyapunov-type inequality for quasilinear systems
    • X. Yang Lyapunov-type inequality for quasilinear systems Appl. Math. Comput. 219 2012 1670 1673
    • (2012) Appl. Math. Comput. , vol.219 , pp. 1670-1673
    • Yang, X.1
  • 8
    • 84867571049 scopus 로고    scopus 로고
    • Lyapunov-type inequality for a class of linear differential systems
    • X. Yang Lyapunov-type inequality for a class of linear differential systems Appl. Math. Comput. 219 2012 1805 1812
    • (2012) Appl. Math. Comput. , vol.219 , pp. 1805-1812
    • Yang, X.1
  • 9
    • 84866367593 scopus 로고    scopus 로고
    • Some sublinear dynamic integral inequalities on time scales
    • Y. Sun Some sublinear dynamic integral inequalities on time scales Math. Inequal. Appl. 15 2012 331 341
    • (2012) Math. Inequal. Appl. , vol.15 , pp. 331-341
    • Sun, Y.1
  • 10
    • 77952568059 scopus 로고    scopus 로고
    • Nonlinear dynamic integral inequalities in two independent variables on time scale pairs
    • D.R. Anderson Nonlinear dynamic integral inequalities in two independent variables on time scale pairs Adv. Dyn. Syst. Appl. 3 2008 1 13
    • (2008) Adv. Dyn. Syst. Appl. , vol.3 , pp. 1-13
    • Anderson, D.R.1
  • 11
    • 58149509006 scopus 로고    scopus 로고
    • Dynamic double integral inequalities in two independent variables on time scales
    • D.R. Anderson Dynamic double integral inequalities in two independent variables on time scales J. Math. Inequal. 2 2008 163 184
    • (2008) J. Math. Inequal. , vol.2 , pp. 163-184
    • Anderson, D.R.1
  • 12
    • 33845513415 scopus 로고    scopus 로고
    • Explicit estimates on integral inequalities with time scale
    • (Article 143)
    • D.B. Pachpatte Explicit estimates on integral inequalities with time scale J. Inequal. Pure Appl. Math. 7 4 2006 (Article 143)
    • (2006) J. Inequal. Pure Appl. Math. , vol.7 , Issue.4
    • Pachpatte, D.B.1
  • 13
    • 77649238106 scopus 로고    scopus 로고
    • Lyapunov-type integral inequalities for certain higher order differential equations
    • D. Çakmak Lyapunov-type integral inequalities for certain higher order differential equations Appl. Math. Comput. 216 2010 368 373
    • (2010) Appl. Math. Comput. , vol.216 , pp. 368-373
    • Çakmak, D.1
  • 14
    • 20444450566 scopus 로고    scopus 로고
    • Young's inequality and related results on time scales
    • DOI 10.1016/j.aml.2004.06.028, PII S0893965905000339
    • F. Wong, C.C. Yeh, S.L. Yu, and C.H. Hong Young's inequality and related results on time scales Appl. Math. Lett. 18 2005 983 988 (Pubitemid 40822123)
    • (2005) Applied Mathematics Letters , vol.18 , Issue.9 , pp. 983-988
    • Wong, F.-H.1    Yeh, C.-C.2    Yu, S.-L.3    Hong, C.-H.4
  • 15
    • 33744904457 scopus 로고    scopus 로고
    • Anderson's inequality on time scales
    • F.H. Wong, S.L. Yu, and C.C. Yeh Anderson's inequality on time scales Appl. Math. Lett. 19 2006 931 935
    • (2006) Appl. Math. Lett. , vol.19 , pp. 931-935
    • Wong, F.H.1    Yu, S.L.2    Yeh, C.C.3
  • 17
    • 40149106297 scopus 로고    scopus 로고
    • Ostrowski's inequality on time scales
    • C.C. Yeh Ostrowski's inequality on time scales Appl. Math. Lett. 21 2008 404 409
    • (2008) Appl. Math. Lett. , vol.21 , pp. 404-409
    • Yeh, C.C.1
  • 18
    • 79955472097 scopus 로고    scopus 로고
    • Generalized double-integral Ostrowski type inequalities on time scales
    • S. Hussain, M.A. Latif, and M. Alomari Generalized double-integral Ostrowski type inequalities on time scales Appl. Math. Lett. 24 2011 1461 1467
    • (2011) Appl. Math. Lett. , vol.24 , pp. 1461-1467
    • Hussain, S.1    Latif, M.A.2    Alomari, M.3
  • 19
    • 67349215077 scopus 로고    scopus 로고
    • On weighted Iyengar type inequalities on time scales
    • M.Z. Sarikaya On weighted Iyengar type inequalities on time scales Appl. Math. Lett. 22 2009 1340 1344
    • (2009) Appl. Math. Lett. , vol.22 , pp. 1340-1344
    • Sarikaya, M.Z.1
  • 20
    • 48849105172 scopus 로고    scopus 로고
    • Extensions of certain integral inequalities on time scales
    • U.M. Özkan, M.Z. Sarikaya, and H. Yildirim Extensions of certain integral inequalities on time scales Appl. Math. Lett. 21 2008 993 1000
    • (2008) Appl. Math. Lett. , vol.21 , pp. 993-1000
    • Özkan, U.M.1    Sarikaya, M.Z.2    Yildirim, H.3
  • 21
    • 84868137695 scopus 로고    scopus 로고
    • Gronwall-type integral inequalities with impulses on time scales
    • Y. Peng, Y. Kang, M. Yuan, R. Huang, and L. Yang Gronwall-type integral inequalities with impulses on time scales Adv. Difference Equ. 2011 2011 1 12
    • (2011) Adv. Difference Equ. , vol.2011 , pp. 1-12
    • Peng, Y.1    Kang, Y.2    Yuan, M.3    Huang, R.4    Yang, L.5
  • 22
    • 84869824167 scopus 로고    scopus 로고
    • Several integral inequalities on time scales
    • L. Yin, Q. Luo, and F. Qi Several integral inequalities on time scales J. Math. Inequal. 6 2012 419 429
    • (2012) J. Math. Inequal. , vol.6 , pp. 419-429
    • Yin, L.1    Luo, Q.2    Qi, F.3
  • 23
    • 80052669015 scopus 로고    scopus 로고
    • Some Opial-type inequalities on time scales
    • (Article ID 265316)
    • S.H. Saker Some Opial-type inequalities on time scales Abstr. Appl. Anal. 2011 2011 (Article ID 265316)
    • (2011) Abstr. Appl. Anal. , vol.2011
    • Saker, S.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.