The estimates from below for characteristic determinants of the two-point problems for linear factorized partial differential equations with constant coefficients are established.
[1] Bernik V.I., Ptashnik B.I., Salyga B.O. Analogue of a multipoint problem for a hyperbolic equation with constant coefficients // Differential equations, 1977. - 13, № 4.- P. 637-645.
[2] Bobyk I.O., Ptashnyk B.Yu. Boundary-value problems for hyperbolic equations with constant coefficients // Ukr. Mat. Journal, 1994. - 46, № 7. - P. 795-802.
[3] Bobyk I.O. Boundary-value problems for general differential equations with partial derivatives // Diss. ... candidate of physical and mathematical sciences. Lviv, 1994. - 130 p.
[4] Polya G., Sege G. Problems and theorems from analysis: in 2 parts. - M.: Nauka, 1978. - Part 2. - 432 p.
[5] Ptashnik B.I. Ill-posed boundary value problems for partial differential equations. - K.: Nauk. Dumka, 1984. - 264 p.
[6] Ptashnik B.I., Shtabalyuk P.I. Boundary value problem for hyperbolic equations in the class of functions almost periodic with respect to spatial variables // Differential Equations, 1986. - 22, No. 4. - P. 669-678.
[7] Symotiuk M.M. On estimates of measures of sets on which the modulus of a smooth function is bounded from above // Math. Methods and Phys.-Mechanical Fields, 1999. - 42, № 4. - P. 90 95.
[8] Symotiuk M.M. Two-point problem for linear partial differential equations with constant coefficients // Nauk. Visnyk Uzhgorod. nat. un-tu, 2002. - Vol. 7. - P. 96-107.
[9] Symotiuk M.M. Diophantine approximation of the determinant of the problem with two multiple nodes for partial differential equations // Mathematical Bulletin of the National Institute of Technology, 2005. - Vol. 2. - P. 199 212.
[10] Symotiuk M.M. Multipoint problems for linear differential and pseudodifferential equations with partial derivatives // Dissertation ... candidate of physical and mathematical sciences. Lviv, 2005. - 193 p.
[11] Khinchin A.Ya. Chain fractions. - M.: Nauka, 1978. - 112 p.
- ACS Style
- Bobyk , I.O.; Symotiuk, M.M. Estimates of characteristic determinants of problems with two multiple nodes for linear factorized partial differential equations. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Bobyk IO, Symotiuk MM. Estimates of characteristic determinants of problems with two multiple nodes for linear factorized partial differential equations. Bukovinian Mathematical Journal. 2018; 1(336).
- Chicago/Turabian Style
- Igor Omelyanovych Bobyk , Mykhailo Mykhailovych Symotiuk. 2018. "Estimates of characteristic determinants of problems with two multiple nodes for linear factorized partial differential equations". Bukovinian Mathematical Journal. 1 no. 336.