Global existence of solutions for interval-valued integro-differential equations under generalized H-differentiability

被引：9
作者：
Vinh An Truong [1 ]
Van Hoa Ngo [2 ]
Dinh Phu Nguyen [3 ]
机构：
[1] Univ Tech Educ, Fac Fdn Sci, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Div Appl Math, Ho Chi Minh City, Vietnam
[3] Univ Sci, Fac Math & Comp Sci, VNU, Ho Chi Minh City, Vietnam
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
interval-valued differential equations; interval-valued integro-differential equations; generalized Hukuhara derivative; HUKUHARA DIFFERENTIABILITY; CAUCHY-PROBLEM; SET; UNIQUENESS; THEOREM;
D O I：
10.1186/1687-1847-2013-217
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we consider the interval-valued integro-differential equations (IIDEs) under generalized H-differentiability (DHX)-X-g(t) = F(t, X(t)) + integral(t)(t0) G(t, s, X(s)) ds, X(t(0)) = X-0 is an element of K-C(R). The global existence of solutions for interval-valued integro-differential equations with initial conditions under generalized H-differentiability is studied. Theorems for global existence of solutions are given and proved on [t(0), infinity). Some examples are given to illustrate these results.
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页数：16
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