Persons: Teptin Anatolii Lavrovich

Teptin Anatolii Lavrovich

Publications in Math-Net.Ru

On the sign of the Green's function of a boundary value problem with periodic and Sturm's boundary conditions

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2, 150–151
A multipoint boundary value problem with a sign-regular Green function

Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 9, 69–80
On the oscillation of the spectrum of a multipoint boundary value problem

Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 4, 44–53
On the oscillation of the spectrum of a multipoint boundary value problem

Differ. Uravn., 31:8 (1995), 1370–1380
On the oscillatory character of the kernel connected with the Green’s function of a multi-point problem

Differ. Uravn., 26:2 (1990), 358–360
A new condition for the sign-constancy of the Green function

Differ. Uravn., 24:6 (1988), 1066–1069
On the sign of the Green difference function

Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 4, 69–72
On the sign of the Green function

Differ. Uravn., 23:4 (1987), 670–674
The Green function of a multipoint problem

Differ. Uravn., 22:11 (1986), 2011–2014
A multipoint boundary value problem whose Green function changes sign in “checkerboard sign pattern”

Differ. Uravn., 20:11 (1984), 1910–1914
Nonoscillation of solutions and the sign of the Green function

Differ. Uravn., 20:6 (1984), 995–1005
The sign of the Green function of a boundary value problem

Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 6, 53–55
On the question of the sign of the Green function

Differ. Uravn., 19:9 (1983), 1542–1547
The sign of the Green function for a multipoint difference boundary value problem

Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 1, 86–88
On the sign of the Green function of a difference boundary value problem

Differ. Uravn., 17:12 (1981), 2283–2286
Estimates of the Green function of a multipoint boundary value problem

Differ. Uravn., 17:6 (1981), 1007–1015
The difference Green function that changes signs only on the lines $x=\mathrm{const}$, $s=\mathrm{const}$

Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 8, 47–51
Новый случай применимости теоремы о дифференциальном неравенстве

Differ. Uravn., 16:6 (1980), 1138–1139
A two-sided numerical method of solving the boundary value problem $y^{'''}=f(t,y)$, $y(a_i)=c_i$ ($i=1,2,3$)

Differ. Uravn., 12:9 (1976), 1705–1711
The stability of multipoint boundary value problems for difference equations

Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 6, 74–79
On difference inequalities in the two-sided difference method of solving a boundary problem

Sibirsk. Mat. Zh., 13:3 (1972), 728
The bilateral difference schemes for the de la Vallée-Poussin boundary value problem

Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 7, 102–109
Transfer of a theorem on difference inequalities to boundary value problems with a condition at infinity.

Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 4, 83–91
Applicability of the sweep method to the difference analog of a De la Valee–Poussin boundary value problem

Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969), 457–462
On the question of the applicability of the maximum principle to an elliptic difference equation

Differ. Uravn., 4:3 (1968), 508–517
The sign of Green's function for an even multipoint difference bondary value problem

Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 1, 108–118
A difference analogue of Mikusinski's theorem and its applications

Zh. Vychisl. Mat. Mat. Fiz., 8:1 (1968), 125–135
Conditions of validity of Čaplygin's theorem for elliptic difference equations

Differ. Uravn., 3:6 (1967), 1009–1021
An effective criterion for the existence and constancy of sign of the Green's function for certain difference boundary value problems

Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 1, 102–106
A question on conservation of the sign of the Green's function for multi-point boundary value problems

Sibirsk. Mat. Zh., 8:4 (1967), 865–875
Estimation of the non-oscillation interval for a difference equation and for difference boundary value problems

Differ. Uravn., 2:11 (1966), 1449–1468
On the question of estimation of the non-oscillation interval for an equation in finite differences

Sibirsk. Mat. Zh., 7:6 (1966), 1370–1382
On certain properties of solutions of linear difference equations approximating differential equations in the interval of non-oscillation

Differ. Uravn., 1:4 (1965), 478–498
On non-oscillatory solutions of linear difference equations and multi-point difference boundary value problems

Izv. Vyssh. Uchebn. Zaved. Mat., 1965, no. 4, 140–146
Theorems on the behaviour of the Green's function of a finite-difference analogue of a Sturm–Liouville boundary-value problem and their application to the study of differential equations

Sibirsk. Mat. Zh., 5:5 (1964), 1163–1180
Oscillations of solutions of a linear second-order difference equation

Izv. Vyssh. Uchebn. Zaved. Mat., 1963, no. 2, 120–123
Theorems on difference inequalities for $n$-point difference boundary problems

Mat. Sb. (N.S.), 62(104):3 (1963), 345–370
The behavior of the Green's function for a multi-point linear difference boundary-value problem

Dokl. Akad. Nauk SSSR, 147:1 (1962), 38–40
On the sign of the Green's function of a linear difference boundary-value problem of second order

Dokl. Akad. Nauk SSSR, 142:5 (1962), 1038–1039
Conditions for solvability of a problem of Chaplygin for partial difference equations

Sibirsk. Mat. Zh., 2:1 (1961), 138–143
On conditions of solvability of the Čaplygin problem for difference equations

Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 5, 180–185
Conditions for the solvability of Čaplygin's problem for linear difference equations

Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 4, 265–269