Differential Equations

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On Asymptotic Solutions of Nonlinear Equations in the Presence of Turning Points
Differential Equations - Tập 40 - Trang 736-741 - 2004
V. P. Maslov, A. I. Shafarevich
Group Pursuit Problem in a Differential Game with Fractional Derivatives, State Constraints, and Simple Matrix
Differential Equations - Tập 55 Số 6 - Trang 841-848 - 2019
Н. Н. Петров
Collocation Methods for a Class of Singular Integro-Differential Equations
Differential Equations - Tập 58 - Trang 1225-1232 - 2022
N. S. Gabbasov
A linear integro-differential equation with a singular differential operator in the principal part is studied. Special versions of the generalized collocation method are proposed and justified to find its approximate solution in the space of generalized functions.
Cauchy Problem and the Second Mixed Problem for Parabolic Equations with a Dirac Potential Concentrated at Finitely Many Given Points
Differential Equations - Tập 55 - Trang 348-352 - 2019
S. N. Baranovskaya, N. I. Yurchuk
We prove the existence and uniqueness of a classical solution of the Cauchy problem and the second mixed problem for parabolic equations whose potential is a linear combination of values of this solution at finitely many prescribed points.
Solitary Waves in the Model of a Predeformed Nonlinear Composite
Differential Equations - Tập 40 - Trang 571-582 - 2004
I. B. Bakholdin, V. Ya. Tomashpol'skii
On the Solvability of the Peridynamic Equation with a Singular Kernel
Differential Equations - Tập 57 - Trang 353-365 - 2021
Sh. A. Alimov, A. V. Yuldasheva
We prove the existence and uniqueness of the solution of the Cauchy problem for an integro-differential equation related to the peridynamic model in mechanics of solids.
Asymptotic solutions of singularly perturbed nonlinear systems of impulsive differential equations with degeneration
Differential Equations - Tập 43 Số 3 - Trang 334-345 - 2007
V. V. Potorocha, Valeriy Hr Samoylenko
On fourth-order nonlinear differential equations with the Painlevé property
Differential Equations - Tập 42 - Trang 1076-1085 - 2006
V. I. Gromak
Finite-dimensional controllability for systems of Navier-Stokes type
Differential Equations - Tập 46 - Trang 1498-1506 - 2010
A. Yu. Chebotarev
We consider the problem of partial controllability for an evolution equation with a quadratic nonlinearity, in which one should provide, at a given time, a given projection of the solution onto some finite-dimensional subspace by using the action of external forces that belong to one and the same subspace at each time. On the basis of estimates for the solution of a subdifferential Cauchy problem ...... hiện toàn bộ
A Nonlocal Spectral Problem for the Sturm-Liouville Equation on the Half-Line
Differential Equations - Tập 37 - Trang 27-37 - 2001
Kh. Kh. Murtazin, M. G. Karimov
Tổng số: 3,067   
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