메뉴 건너뛰기




Volumn 44, Issue 2, 2002, Pages 225-238

Some new Gronwall-Bellman-Bihari type integral inequalities with delay

Author keywords

A priori bound; Delay integral inequality; G B B type

Indexed keywords


EID: 0742299839     PISSN: 00315303     EISSN: 15882829     Source Type: Journal    
DOI: 10.1023/A:1019600715281     Document Type: Article
Times cited : (41)

References (17)
  • 1
    • 0021520632 scopus 로고
    • On Gronwall-Bellman-Bihari type inequalities in several variables with retardation
    • O. AKINYELE, On Gronwall-Bellman-Bihari type inequalities in several variables with retardation, J. Math. Anal. Appl. 104 (1984), 1-26.
    • (1984) J. Math. Anal. Appl. , vol.104 , pp. 1-26
    • Akinyele, O.1
  • 2
    • 0029684513 scopus 로고    scopus 로고
    • Asymptotic behavior and ocillations of second order differential equations with deviating argument
    • S. M. Aziz and A. H. NASR, Asymptotic behavior and ocillations of second order differential equations with deviating argument, J. Math. Anal. Appl. 197 (1996), 448-458.
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 448-458
    • Aziz, S.M.1    Nasr, A.H.2
  • 4
    • 0002406303 scopus 로고
    • On Lakshmikantham's comparison method for Gronwall inequalities
    • P. R. BEESACK, On Lakshmikantham's comparison method for Gronwall inequalities, Ann. Polon. Math. 35 (1977), 187-222.
    • (1977) Ann. Polon. Math. , vol.35 , pp. 187-222
    • Beesack, P.R.1
  • 5
    • 3042827166 scopus 로고
    • On the system integral inequalities with delay of Gronwall-Bellman type
    • D. BOBROWSKI, J. POPENDA and J. WERBOWSKI, On the system integral inequalities with delay of Gronwall-Bellman type, Fasc. Math. 10 (1978), 97-104.
    • (1978) Fasc. Math. , vol.10 , pp. 97-104
    • Bobrowski, D.1    Popenda, J.2    Werbowski, J.3
  • 6
    • 0003023911 scopus 로고
    • Integral inequalities of Gronwall-Bellman-Bihari type and asymptotic behaviour of certain second order nonlinear differential equations
    • F. DANNAN, Integral inequalities of Gronwall-Bellman-Bihari type and asymptotic behaviour of certain second order nonlinear differential equations, J. Math. Anal. Appl. 108 (1985), 151-164.
    • (1985) J. Math. Anal. Appl. , vol.108 , pp. 151-164
    • Dannan, F.1
  • 7
    • 46149141063 scopus 로고
    • Submutiplicative and subadditive functions and integral inequalities of Bellman-Bihari type
    • F. DANNAN, Submutiplicative and subadditive functions and integral inequalities of Bellman-Bihari type, J. Math. Anal. Appl. 120 (1986), 631-646.
    • (1986) J. Math. Anal. Appl. , vol.120 , pp. 631-646
    • Dannan, F.1
  • 8
    • 84966214337 scopus 로고
    • An inequality for a class of integral systems
    • D. E. GREEN, An inequality for a class of integral systems, Proc. Amer. Math. Soc. 62 (1977), 101-104.
    • (1977) Proc. Amer. Math. Soc. , vol.62 , pp. 101-104
    • Green, D.E.1
  • 9
    • 0034670488 scopus 로고    scopus 로고
    • On some new nonlinear delay integral inequalities
    • Q. H. MA and E. H. YANG, On some new nonlinear delay integral inequalities, J. Math. Anal. Appl. 252 (2000), 864-878.
    • (2000) J. Math. Anal. Appl. , vol.252 , pp. 864-878
    • Ma, Q.H.1    Yang, E.H.2
  • 10
    • 0010884791 scopus 로고
    • Bihari type inequalities with multiple integral and delay
    • M. MEDVED, Bihari type inequalities with multiple integral and delay, Period. Math. Hungar. 27 (1993), 207-212.
    • (1993) Period. Math. Hungar. , vol.27 , pp. 207-212
    • Medved, M.1
  • 11
    • 0002589084 scopus 로고
    • A note on certain integral inequalities with delay
    • B. G. PACHPATTE, A note on certain integral inequalities with delay, Period. Math. Hungar. 31 (1995), 229-234.
    • (1995) Period. Math. Hungar. , vol.31 , pp. 229-234
    • Pachpatte, B.G.1
  • 12
    • 38149148327 scopus 로고
    • On a certain inequality arising in the theory of differential equations
    • B. G. PACHPATTE, On a certain inequality arising in the theory of differential equations, J. Math. Anal. Appl. 182 (1994), 143-157.
    • (1994) J. Math. Anal. Appl. , vol.182 , pp. 143-157
    • Pachpatte, B.G.1
  • 13
    • 0042616940 scopus 로고
    • Integral inequalities of Bihari-type and applications
    • M. PINTO, Integral inequalities of Bihari-type and applications, Funck. Ekvac. 33 (1990), 387-403.
    • (1990) Funck. Ekvac. , vol.33 , pp. 387-403
    • Pinto, M.1
  • 14
    • 45449122268 scopus 로고
    • Integration of systems resulting from the perturbation of an h-system
    • M. PINTO, Integration of systems resulting from the perturbation of an h-system, J. Math. Anal. Appl. 131 (1988), 194-216.
    • (1988) J. Math. Anal. Appl. , vol.131 , pp. 194-216
    • Pinto, M.1
  • 15
    • 0000439850 scopus 로고
    • The boundedness of solutions of linear differential equations Y″ + A(t)Y = 0
    • in Chinese
    • L. OU-IANG, The boundedness of solutions of linear differential equations Y″ + A(t)Y = 0, Shuxue Jinzhan. 3 (1957), 409-415. (in Chinese)
    • (1957) Shuxue Jinzhan. , vol.3 , pp. 409-415
    • Ou-Iang, L.1
  • 16
    • 0002485652 scopus 로고
    • On a Bellman-Bihari type integral inequalities with delay
    • P. CH. TSAMATOS and S. K. NTOUYAS, On a Bellman-Bihari type integral inequalities with delay, Period. Math. Hungar. 23 (1991), 91-94.
    • (1991) Period. Math. Hungar. , vol.23 , pp. 91-94
    • Tsamatos, P.Ch.1    Ntouyas, S.K.2
  • 17
    • 0042648296 scopus 로고
    • Boundedness and global uniform Lipshitz-stability for solutions of two-dimensional differential system
    • in Chinese, English summary
    • E. H. YANG and R. L. GAN, Boundedness and global uniform Lipshitz-stability for solutions of two-dimensional differential system, Acta Math. Appl. Scinica 17 (1994), 364-373. (in Chinese, English summary)
    • (1994) Acta Math. Appl. Scinica , vol.17 , pp. 364-373
    • Yang, E.H.1    Gan, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.