Nonlocal Cauchy problems for wave equations and applications

Veli Shakhmurov

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arXiv · 1707.04492

Nonlocal Cauchy problems for wave equations and applications

Veli Shakhmurov

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Abstract

In this paper, the existence, the uniqueness and estimates of solution to the integral Cauchy problem for linear and nonlinear abstract wave equations are proved. The equation includes a linear operator A defined in a Banach space E, in which by choosing E and A we can obtain numerous classis of nonlocal initial value problems for wave equations which occur in a wide variety of physical systems.

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Veli Shakhmurov. 2017-07-13. Nonlocal Cauchy problems for wave equations and applications. https://arxiv.org/abs/1707.04492

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