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Volumn 282, Issue 1, 2003, Pages 56-62

A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equation of the second kind

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EID: 0038687918     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00369-4     Document Type: Article
Times cited : (38)

References (11)
  • 2
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    • P.R. Bessack, Comparison theorems and integral inequalities for Volterra integral equations, Proc. Amer. Math. Soc. 20 (1969) 61-66.
    • (1969) Proc. Amer. Math. Soc. , vol.20 , pp. 61-66
    • Bessack, P.R.1
  • 3
    • 0003700692 scopus 로고
    • Computational Methods for Integral Equations
    • Cambridge Univ. Press
    • L.M. Delves, J. Mohaned, Computational Methods for Integral Equations, Cambridge Univ. Press, 1985.
    • (1985)
    • Delves, L.M.1    Mohaned, J.2
  • 5
    • 0001249155 scopus 로고
    • Note on the derivatives with respect to a parameter of the solutions of a system of differential equations
    • T.H. Gronwall, Note on the derivatives with respect to a parameter of the solutions of a system of differential equations, Ann. of Math. 20 (1918) 292-296.
    • (1918) Ann. of Math. , vol.20 , pp. 292-296
    • Gronwall, T.H.1
  • 6
    • 84968513661 scopus 로고
    • Numerical quadrature and asymptotic expansions
    • J.N. Lyness, B.W. Ninham, Numerical quadrature and asymptotic expansions, Math. Comp. 21 (1967) 162-178.
    • (1967) Math. Comp. , vol.21 , pp. 162-178
    • Lyness, J.N.1    Ninham, B.W.2
  • 7
    • 85176093880 scopus 로고
    • A further extension of Euler-Maclaurin summation formula
    • J. Navot, A further extension of Euler-Maclaurin summation formula, J. Math, Phys. 41 (1962) 155-184.
    • (1962) J. Math. Phys. , vol.41 , pp. 155-184
    • Navot, J.1
  • 10
    • 38149148327 scopus 로고
    • On a certain inequality in the theory of differential equations
    • B.G. Pachpatte, On a certain inequality 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
  • 11
    • 0001043652 scopus 로고
    • On discrete analogues of some generalizations of Gronwall's inequality
    • D. Willett, J.S.W. Wong, On discrete analogues of some generalizations of Gronwall's inequality, Monatsh. Math. 69 (1965) 362-367.
    • (1965) Monatsh. Math. , vol.69 , pp. 362-367
    • Willett, D.1    Wong, J.S.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.