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Volumn 5, Issue 3, 2000, Pages 287-308

Nonlinear singular integral inequalities for functions in two and n independent variables

Author keywords

Gronwell Bihari inequality; Henry inequality; Integral inequality; Weakly singular kernel; Wendroff inequality

Indexed keywords


EID: 0002914234     PISSN: 10255834     EISSN: 1029242X     Source Type: Journal    
DOI: 10.1155/S102558340000014X     Document Type: Article
Times cited : (38)

References (19)
  • 1
    • 0004168362 scopus 로고
    • Springer-Verlag, Berlin Göttingen, Heidelberg
    • E. F. Beckenbach and R. Bellman, Inequalities, Springer-Verlag, Berlin Göttingen, Heidelberg, 1961.
    • (1961) Inequalities
    • Beckenbach, E.F.1    Bellman, R.2
  • 2
    • 34250577382 scopus 로고
    • A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations
    • J. A. Bihari, A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungary 7(1965), 81-94.
    • (1965) Acta Math. Acad. Sci. Hungary , vol.7 , pp. 81-94
    • Bihari, J.A.1
  • 3
    • 0018495154 scopus 로고
    • On nonlinear integral inequalities of the Wendroff type
    • B. K. Bondge and B. G. Pachpatte, On nonlinear integral inequalities of the Wendroff type, J. Math. Anal. Appl. 70(1979), 161-169.
    • (1979) J. Math. Anal. Appl. , vol.70 , pp. 161-169
    • Bondge, B.K.1    Pachpatte, B.G.2
  • 11
    • 0010936773 scopus 로고
    • A generalization of Bihari lemma and their applications
    • Slovak
    • M. Medveď, A generalization of Bihari lemma and their applications, Matematický Casopis 20(1970), 225-232 (Slovak).
    • (1970) Matematický Casopis , vol.20 , pp. 225-232
    • Medveď, M.1
  • 12
    • 0010884791 scopus 로고
    • Bihari type inequalities with multiple integral and delay
    • M. Medveď, Bihari type inequalities with multiple integral and delay, Periodica Mathematica Hungarica 27(1993), 207-212.
    • (1993) Periodica Mathematica Hungarica , vol.27 , pp. 207-212
    • Medveď, M.1
  • 13
    • 0031247674 scopus 로고    scopus 로고
    • A new approach to an analysis of Henry type integral inequalities and their Bihari type versions
    • M. Medveď, A new approach to an analysis of Henry type integral inequalities and their Bihari type versions, J. Math. Analysis and Appl. 214(1997), 349-366.
    • (1997) J. Math. Analysis and Appl. , vol.214 , pp. 349-366
    • Medveď, M.1
  • 14
    • 4944228357 scopus 로고    scopus 로고
    • Singular integral inequalities and stability of semilinear parabolic equations
    • M. Medveď, Singular integral inequalities and stability of semilinear parabolic equations, Archivum Mathematicum (Brno) 34(1998), 183-190.
    • (1998) Archivum Mathematicum (Brno) , vol.34 , pp. 183-190
    • Medveď, M.1
  • 15
    • 49149147200 scopus 로고
    • On some new integrodifferential inequalities of the Wendroff type
    • B. G. Pachpatte, On some new integrodifferential inequalities of the Wendroff type, J. Math. Anal. Appl. 73(1980), 491-500.
    • (1980) J. Math. Anal. Appl. , vol.73 , pp. 491-500
    • Pachpatte, B.G.1
  • 16
    • 0000561639 scopus 로고
    • On some new inequalities in the theory of differential equations
    • B. G. Pachpatte, On some new inequalities in the theory of differential equations, J. Math. Anal. Appl. 189(1995), 128-144.
    • (1995) J. Math. Anal. Appl. , vol.189 , pp. 128-144
    • Pachpatte, B.G.1
  • 18
    • 0028380973 scopus 로고
    • Modified Gronwall's inequality and its application to stabilization problem for semilinear parabolic systems
    • H. Sano and N. Kunimatsu, Modified Gronwall's inequality and its application to stabilization problem for semilinear parabolic systems, Systems Control Letters 22(1994), 145-156.
    • (1994) Systems Control Letters , vol.22 , pp. 145-156
    • Sano, H.1    Kunimatsu, N.2
  • 19
    • 0011477650 scopus 로고
    • On some new inequalities in n independent variables
    • E. Thandapani and R. P. Agarwal, On some new inequalities in n independent variables, J. Math. Anal. Appl. 86(1982), 542-561.
    • (1982) J. Math. Anal. Appl. , vol.86 , pp. 542-561
    • Thandapani, E.1    Agarwal, R.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.