### Homogeneous Problem with two-point in time Conditions for Some Equations of Mathematical Physics

#### Abstract

We study the problem for homogeneous partial differential equations of two variables

of the second order with respect to the time variable in which there given homogeneous two-point

conditions, and finite order with respect to another (spatial) variable. We propose a method of

construction nontrivial solutions of the problem when the characteristic determinant of the problem

is nontrivial and the set of its zeroes is not empty. We applied this method to the construction of

non-zero solutions of homogeneous two-point problems for some equations of mathematical physics.

#### Keywords

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