Zobrazeno 1 - 10
of 28
pro vyhledávání: '"B. I. Ptashnyk"'
Autor:
A. M. Kuz, B. I. Ptashnyk
Publikováno v:
Ukrainian Mathematical Journal. 69:621-645
In a domain obtained as a Cartesian product of an interval [0,T] and the space ℝ p , p ∈ ℕ, for a system of equations (with constant coefficients) unsolved with respect to the highest time derivative, we study the problem with integral conditio
Autor:
S. M. Repetylo, B. I. Ptashnyk
Publikováno v:
Ukrainian Mathematical Journal. 68:756-776
In the domain obtained as the Cartesian product of a segment 0 ≤ t ≤ T by a p-dimensional torus in the variables x 1 ,…,x p , p ≥ 1, we study the problem with mixed boundary conditions in the variable t for general (no restrictions are impose
Autor:
B. I. Ptashnyk, A. M. Kuz
Publikováno v:
Ukrainian Mathematical Journal. 67:723-734
In a layer obtained as the Cartesian product of an interval [−T 1 ,T 2], T 1 ,T 2 > 0, and a space ℝ p , p ≥ 1, we study a problem with nonlocal condition in the time variable containing an integral term for a mixed parabolic-hyperbolic equatio
Autor:
B. I. Ptashnyk, I. R. Tymkiv
Publikováno v:
Ukrainian Mathematical Journal. 65:463-477
We establish conditions for the well-posedness of a problem with multipoint conditions in the time variable and some boundary conditions in the space coordinates posed for one class of parabolic equations with Bessel operator in one of the space vari
Autor:
B. I. Ptashnyk, A. M. Kuz
Publikováno v:
Ukrainian Mathematical Journal. 65:277-293
In a domain specified in the form of a Cartesian product of a segment [0, T] and the space $ {{\mathbb{R}}^p} $ , we study a problem with integral conditions with respect to the time variable for Garding hyperbolic equations with constant coefficient
Autor:
I. R. Tymkiv, B. I. Ptashnyk
Publikováno v:
Nonlinear Oscillations. 12:346-357
We study the well-posedness of a problem for a Petrovskii-parabolic equation with coefficients depending on the space coordinates and with multipoint conditions with respect to the time variable. We establish conditions for the existence and uniquene
Autor:
B. I. Ptashnyk, I. Ya. Kmit
Publikováno v:
Ukrainian Mathematical Journal. 60:221-234
By using the method of characteristics, we investigate the well-posedness of local problems (Cauchy problem and mixed problems) and nonlocal problems (with nonseparable and integral conditions) for some multidimensional almost-linear hyperbolic syste
Autor:
B. I. Ptashnyk, O. D. Vlasii
Publikováno v:
Ukrainian Mathematical Journal. 59:409-422
We study the well-posedness of the problem with general nonlocal boundary conditions in the time variable and conditions of periodicity in the space coordinates for partial differential equations unsolved with respect to the higher time derivative. W
Autor:
B. I. Ptashnyk, V. S. Il’kiv
Publikováno v:
Ukrainian Mathematical Journal. 58:1847-1875
A survey of works of the authors and their disciples devoted to the investigation of problems with nonlocal conditions with respect to a selected variable in cylindrical domains is presented. These problems are considered for linear equations and sys
Autor:
B. I. Ptashnyk, V. S. Il’kiv
Publikováno v:
Siberian Mathematical Journal. 46:94-102
We study conditions for existence and uniqueness of a pseudosolution in a Sobolev space to a nonlocal two-point boundary-value problem for an indefinite type nonhomogeneous system of partial differential equations with continuous coefficients. We con