广义参数度量空间中的某些不动点定理及其在常微分方程中的应用
Some fixed point theorems in generalized parametric metric spaces and applications to ordinary differential equations
AI总结：
本文在广义参数度量空间中构造并证明了Boyd-Wong和Banach型不动点定理，并将其分别应用于二阶初值问题与一阶周期边值微分方程解的存在性准则研究。
摘要：
本工作的目标是在广义参数度量空间的背景下构造Boyd-Wong不动点定理，并讨论其在二阶初值问题解的存在性准则上的应用。此外，还证明了广义参数度量空间中Banach型不动点定理的类似形式，并考察了其对一阶周期边值微分方程解的存在性的应用。
英文摘要：
The objective of this work is the construction of `Boyd-Wong fixed point theorem' in the setting of generalized parametric metric space and discussion its application on existence criteria of solutions to a second order initial value problem. Also an analogue of `Banach type fixed point theorem of generalized parametric metric space is proved and its application on the existence of a solution of first order periodic boundary value differential equation is examined.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
