# Differential Equations

Differential Equations > 2016 > 52 > 1 > 28-38

Differential Equations > 2016 > 52 > 1 > 1-17

Differential Equations > 2016 > 52 > 1 > 84-91

Differential Equations > 2016 > 52 > 1 > 39-57

Differential Equations > 2016 > 52 > 1 > 18-27

Differential Equations > 2016 > 52 > 1 > 76-83

Differential Equations > 2016 > 52 > 1 > 58-75

*n*th-order differential equations with a cusp degeneration for the case in which the principal symbol has multiple roots. We describe a new method for constructing the asymptotics, which we call the repeated quantization method. Examples of application of the method are given.

Differential Equations > 2016 > 52 > 1 > 122-127

Differential Equations > 2016 > 52 > 1 > 92-110

Differential Equations > 2016 > 52 > 1 > 133-138

Differential Equations > 2016 > 52 > 1 > 128-132

Differential Equations > 2016 > 52 > 1 > 111-121

Differential Equations > 2016 > 52 > 2 > 248-257

Differential Equations > 2016 > 52 > 2 > 260-264

Differential Equations > 2016 > 52 > 2 > 240-247

Differential Equations > 2016 > 52 > 2 > 258-259

Differential Equations > 2016 > 52 > 2 > 220-239

*x*,

*t*) = ϱ

^{0}(

*x*,

*t*) +

*r*(

*x*) multiplying

*u*

_{ t }in a nonstationary parabolic equation. Here ϱ

^{0}(

*x*,

*t*) ≥ ϱ

^{0}> 0 is a given function, and

*r*(

*x*) ≥ 0 is an unknown function of the class

*L*

_{∞}(Ω). In addition to the initial and boundary conditions (the data of the direct problem), we pose the problem...

Differential Equations > 2016 > 52 > 2 > 210-219

Differential Equations > 2016 > 52 > 2 > 197-209

*x*) parabolic system in a domain with nonsmooth lateral boundary for the case in which the right-hand sides of the boundary conditions only have continuous derivatives of order 1/2. We study the smoothness of the solution.

Differential Equations > 2016 > 52 > 2 > 149-156