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CONSTRUCTION OF DIFFERENTIAL-EQUATION SYSTEMS IN 3-DIMENSIONAL SPACE FROM PROPERTIES OF THEIR INTEGRAL CURVESCONSTRUCTION OF DIFFERENTIAL-EQUATION SYSTEMS IN 3-DIMENSIONAL SPACE FROM PROPERTIES
Convergence of approximate solutions to two-dimensional singular integral equation with Cauchy kernel in the integral metrics solvability of the resulting system of linear algebraic equations in the integral metric is proven.
The Integrability Condition in the Normal Form Method presented the equation as a dynamical system and parameterized it. We constructed polynomial equations
Symbolic-Numeric Integration of the Dynamical Cosserat Equations equations, a system of nonlinear partial differential equations describing the mechanical behavior
Hamilton equations for infinite-dimensional systems, and their variational equations the solutions and first integrals of noncanonical Hamilton equations, their variational equations
Analytic continuation of the Appell function F 1 and integration of the associated system of equations in the logarithmic case corresponding system of partial differential equations are considered in the logarithmic case when
On the existence of solutions to geometrically nonlinear problems for shallow Timoshenko-type shells with free edges of equilibrium equations to one nonlinear differential equation with respect to deflections. In doing so integral
Solvability of one nonlinear boundary-value problem for a system of differential equations of the theory of shallow Timoshenko-type shells of the initial system of equations to one nonlinear operator equation is used to study the problem
Some cases of the solvability in a closed form of singular integral equations and two-dimensional characteristic systemsWe consider the characteristic system of singular integral equations for two unknown functions. We
On a general discrete boundary value problem for an elliptic pseudo-differential equation in a quadrant quadrant and reduce it to a system of integral equations.We show a solvability of the system for a small
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