논문KCI 등재
STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE
한국수학교육학회|2011.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제1호|pp. 63-78
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In the present paper, we obtain integral inequalities involving the Kurz-weil-Stieltjes integrals which generalize Gronwall-Bellman inequality and we use the inequalities to verify existence of solutions of a certain integral equation. Such inequalities will play an important role in the study of impulsively perturbed systems [9].
Abstract
In the present paper, we obtain integral inequalities involving the Kurz-weil-Stieltjes integrals which generalize Gronwall-Bellman inequality and we use the inequalities to verify existence of solutions of a certain integral equation. Such inequalities will play an important role in the study of impulsively perturbed systems [9].
참고문헌 (14)
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관련 논문AI추천
STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES김영진한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONSYoung Jin Kim한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호ASYMPTOTIC BEHAVIOR OF A CERTAIN SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATION김영진한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제1호BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES김영진한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제3호SOME OPIAL-TYPE INEQUALITIES APPLICABLE TO DIFFERENTIAL EQUATIONS INVOLVING IMPULSESYoung Jin Kim한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제4호On Some New Nonlinear Integral Inequalities of Gronwall- Bellman TypeAbdelwahab Abbas Ragab, Ahmed Abdel-moneim Eldeeb, Hassan mostafa El-Owaidy, Waleed mostafa kamal Abuelela경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호
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