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- 자료유형
- 학술저널
- 저자정보
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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제36권 제1호
- 발행연도
- 2018.1
- 수록면
- 1 - 14 (14page)
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In this paper, we prove the existence, uniqueness and stability of solution for some nonlinear functional-integral equations by using generalized coupled Lipschitz condition. We prove a fixed point theorem to obtain the mentioned aim in Banach space $X=C([a,b],{\mathbb{R}})$. As application we study some volterra integral equations with linear, nonlinear and single kernel.
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참고문헌 (24)
참고문헌 신청
R.P. Agrawal / 1999 / Positive Solution of Differential. Difference and Integral Equation / Kluwer Academic
R.P. Agarwal / 1999 / Existence of Solutions to Singular Integral Equations / Com-put. Math. Appl 37:25~29
J. Banas / 2003 / On existence and asymptotic stability of solutions of a nonlinear integral equation / J. Math. Anal. Appl :165~173
H. Brunner / 2004 / Collocation Methods for Volterra Integral and Related Functional Differential Equations / Cambridge University Press
J. Brzdek / 2009 / On a method of proving the HyersUlam stability of functional equations on restricted domains / Aust. J. Math. Anal. Appl 6:1~10
R.P. Agarwal / 1999 / Existence of Solutions to Singular Integral Equations / Com-put. Math. Appl 37:25~29
J. Banas / 2003 / On existence and asymptotic stability of solutions of a nonlinear integral equation / J. Math. Anal. Appl :165~173
H. Brunner / 2004 / Collocation Methods for Volterra Integral and Related Functional Differential Equations / Cambridge University Press
J. Brzdek / 2009 / On a method of proving the HyersUlam stability of functional equations on restricted domains / Aust. J. Math. Anal. Appl 6:1~10
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