Construction of approximate solutions for a class of first-order nonlinear differential equations in the analyticity region
| Authors: Pchelova A.Z. | Published: 15.06.2016 |
| Published in issue: #3(66)/2016 | |
| DOI: 10.18698/1812-3368-2016-3-3-15 | |
| Category: Mathematics and Mechanics | Chapter: Differential Equations and Mathematical Physics | |
| Keywords: nonlinear ordinary differential equation, movable singular point, Cauchy problem, analytical approximate solution, error of the approximate solution, perturbation of the initial condition, analyticity region | |
Solution of terminal tasks for second-order systems under state constraints
| Authors: Kasatkina T.S. | Published: 16.02.2016 |
| Published in issue: #1(64)/2016 | |
| DOI: 10.18698/1812-3368-2016-1-17-26 | |
| Category: Mathematics and Mechanics | Chapter: Differential Equations and Mathematical Physics | |
| Keywords: terminal control, phase curve, state constraints | |
Stabilization and Spectrum in Operator Differential Equations
| Authors: Filinovsky A.V. | Published: 17.06.2015 |
| Published in issue: #3(60)/2015 | |
| DOI: 10.18698/1812-3368-2015-3-3-19 | |
| Category: Mathematics and Mechanics | Chapter: Differential Equations and Mathematical Physics | |
| Keywords: operator differential equation, hyperbolic problem, Dirichlet boundary condition, stabilization, Laplace operator, spectrum | |
Construction of Approximate Solution of One Nonlinear Differential Second-Order Equation in the Neighborhood of Movable Singular Point
| Authors: Orlov Vic.N., Leont’eva T.Yu. | Published: 15.04.2015 |
| Published in issue: #2(59)/2015 | |
| DOI: 10.18698/1812-3368-2015-2-26-37 | |
| Category: Mathematics and Mechanics | Chapter: Differential Equations and Mathematical Physics | |
| Keywords: movable singular point, nonlinear differential equation of second order, approximate solution, method of majorants, neighbourhood of movable singular point | |
On Asymptotic Classification of Solutions to Nonlinear Third- and Fourth-Order Differential Equations with Power Nonlinearity
| Authors: Astashova I.V. | Published: 15.04.2015 |
| Published in issue: #2(59)/2015 | |
| DOI: 10.18698/1812-3368-2015-2-3-25 | |
| Category: Mathematics and Mechanics | Chapter: Differential Equations and Mathematical Physics | |
| Keywords: nonlinear higher-order ordinary differential equation, asymptotic behavior, qualitative properties, asymptotic classification of solutions | |