Nytrebych, Z. M.; Malanchuk, O. M. A criterion of existence of nontrivial quasipolynomial solutions of homogeneous two-point problem for partial differential equation. (Ukrainian. English summary) Zbl 1374.35004 Bukovyn. Mat. Zh. 4, No. 3-4, 140-149 (2016). Summary: The necessary and sufficient conditions of existence of the nontrivial quasipolynomial solutions of homogeneous partial differential equation of second order in time variable and generally infinite order in \(s\in\mathbb N\setminus\{1\}\) spatial variables with constant complex coefficients that satisfy homogeneous local two-point conditions are established. The existence of these solutions is provided by the condition that the set of zeroes of characteristic determinant of problem is not empty. Cited in 1 Document MSC: 35A01 Existence problems for PDEs: global existence, local existence, non-existence Keywords:partial differential equation; nontrivial quasipolynomial solutions; existence of solutions PDFBibTeX XMLCite \textit{Z. M. Nytrebych} and \textit{O. M. Malanchuk}, Bukovyn. Mat. Zh. 4, No. 3--4, 140--149 (2016; Zbl 1374.35004)