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On some integral inequalities with iterated integrals

김영호|조열제|Sever S. Dragomir
대한수학회 (The Korean Mathematical Society)|2006.05|대한수학회지 (Journal of the KMS)|제43권 제3호|pp. 563-578

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참고문헌

주제분류수학

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Abstract

The main aim ofthe present paper is to establish some new Gronwall typeinequalities involving iterated integrals and give some

참고문헌 (13)

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  3. "\ref \key 5 \by Ya. V. Bykov and Kh. M. Salpagarov\paper On the theory of integro-differential equations \jour inInvestigations in Integro-Differential Equations in Khirghizia" (1962)
  4. "\ref \key 6 \by S. S. Dragomir and N. M. Ionescu \paper On nonlinear integral inequalities in two independentvariables \jour Studia Univ. Babe\c", pp.11~ (1989)
  5. "paper On certain new integral inequalities and their applications", 3, pp.1~8 (2002)
  6. "paper Some integral inequalities for function of two variables", 10, pp.1~13 (2003)
  7. "\ref \key 9 \by T. H. Gronwall \paper Note on thederivatives with respect to a parameter of solutions of a systemof differential equations \jour Ann. of Math. \vol 20 \yr1919 \pages no. 4", pp.292~ (1919)
  8. "\ref \key 11 \by C. E. Langenhop \paper Bounds on thenorm of a solution of a general differential equation \jour Proc.Amer. Math. Soc. \vol 11 \yr 1960 \pages 795--799\endref" (1960)
  9. "\ref \key 12 \by A. Mate and P. Neval \paper Sublinearperturbations of the differential equation $y^ }=0$ and of theanalogous difference equation \jour J. Differential Equations\vol 53 \yr 1984 \pages no. 2", pp.234~ (1984)
  10. "\ref \key 14 \by V. V. Nemyckii and V. V. Stepanov\book Qualitative theory of differential equations $" (1947)
  11. "some fundamental integral inequalities and their discrete analogues", 2, pp.1~13 (2001)
  12. "\ref \key 17 \by Yu. A. Ved \paper Onperturbations of linear homogeneous differential equations withvariable coefficients \jour In" (1965)
  13. "\ref \key 17 \by Yu. A. Ved \paper Onperturbations of linear homogeneous differential equations withvariable coefficients \jour In" (1965)

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