Application of Chapligin's theorem to autonomous systems.
Application of Lakshmikantham's monotone-iterative technique to the solution of the initial value problem for impulsive integro-differential equations.
Application of Lyapunov's Direct Method to the Existence of Integral Manifolds of Impulsive Differential Equations
The present paper investigates the existence of integral manifolds for impulsive differential equations with variable perturbations. By means of piecewise continuous functions which are generalizations of the classical Lyapunov’s functions, sufficient conditions for the existence of integral manifolds of such equations are found.
Application of matrix polynomials to investigation of singular equations.
Application of partial averaging for a class of integro-differential equations of Fredholm type.
Application of Pettis integration to differential inclusions with three-point boundary conditions in Banach spaces.
Application of Rothe's method to abstract parabolic equations
Application of Rothe's method to nonlinear evolution equations
Application of Rothe's method to parabolic variational inequalities
Application of Rothe's method to perturbed linear hyperbolic equations and variational inequalities
Application of symbolic computation in nonlinear differential-difference equations.
Application of the averaging method for a two-point boundary problem for systems of integro-differential equations of Fredholm type.
Application of the averaging method for the solution of boundary problems for ordinary differential and integro-differential equations
Application of the direct method to a microconvection model.
Application of the Laplace transform to simulating continuous systems
Application of the Lyapunov-Schmidt method to the problem of the branching of a cycle from a family of equilibria in a system with multicosymmetry.
Application of the Mean Ergodic Theorem to Certain Semigroups
Application of the Ritz method to the solution of parabolic boundary value problems of arbitrary order in the space variables
Application of uniform asymptotics method to analyzing the asymptotic behaviour of the general fourth Painlevé transcendent.
Application of uniform asymptotics to the fifth Painlevé transcendent.