On a Generalization of the Initial-Boundary Problem for the Vibrating String Equation
Djumaklich AmanovInstitute of Mathematics of Academy of Sciences of Uzbekistan, Tashkent 100125, UzbekistanGafurjan IbragimovDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, MalaysiaAdem KılıçmanDepartment of Electrical and Electronic Engineering, Istanbul Gelisim University, Avcilar, Istanbul 34310, Turkey
ABI
Аннотация
In the present paper, we study a generalization of the initial-boundary problem for the inhomogeneous vibrating string equation. The initial conditions include the higher order derivatives of the unknown function. The problem is studied under homogeneous boundary conditions of the first kind. The uniqueness and existence of a regular solution of the problem are proved. To prove the main result we use the spectral decomposition method.
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