Nonlinear Delay Discrete Inequalities and Their Applications to Volterra Type Difference Equations
نویسندگان
چکیده
Gronwall-Bellman inequalities and their various linear and nonlinear generalizations play very important roles in the discussion of existence, uniqueness, continuation, boundedness, and stability properties of solutions of differential equations and difference equations. The literature on such inequalities and their applications is vast. For example, see 1–12 for continuous cases, and 13–20 for discrete cases. In particular, the book 21 written by Pachpatte considered three types of discrete inequalities:
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