which was proposed by Kirchhoff in [6]. In fact, (3) is an extension and generalization of the classical D’Alembert wave equation in some ways. .is model is widely used in… Click to show full abstract
which was proposed by Kirchhoff in [6]. In fact, (3) is an extension and generalization of the classical D’Alembert wave equation in some ways. .is model is widely used in many fields, such as non-Newtonian mechanics, cosmophysics, elastic theory, and electromagnetics. It is worth noting that equation (2) has a nonlocal term ????L0 |zu/zx| 2dx. Only after Lions [7] proposed an abstract functional analysis framework about the following equation:
               
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