Volterra integral equations on time scales: Basic qualitative and quantitative results with applications to initial value problems on unbounded domains
Volterra integral equations on time scales: Basic qualitative and quantitative results with applications to initial value problems on unbounded domains
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发表时间：
2007
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通讯作者：
Tomas Kulik;C. Tisdell
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作者：
Tomas Kulik;C. Tisdell
本文介绍了时间尺度上Volterra积分方程的基本定性和基本定量理论，为该领域的进一步研究奠定了基础。引入新的前提条件，保证：存在性；独特性;近似;线性和非线性问题解的有界性和一定增长率。所采用的主要技术是非线性分析的当代组成部分，包括：不动点定理
This article introduces the basic qualitative and basic quantitative theory of Volterra integral equations on time scales and thus may be considered as a foundation for future advanced studies in the field. New sucient conditions are introduced that guarantee: existence; uniqueness; approximation; boundedness and certain growth rates of solutions to both linear and nonlinear problems. The main techniques employed are contemporary components of nonlinear analysis, including: the fixed‐point theorems