Application de la théorie d'extrapolation pour la résolution des équations différentielles à retard homogènes.
Application du principe du dernier multiplicateur à l'intégration d'une équation différentielle du second ordre
Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats
Unidirectional motion along an annular water channel can be observed in an experiment even with only one camphor disk or boat. Moreover, the collective motion of camphor disks or boats in the water channel exhibits a homogeneous and an inhomogeneous state, depending on the number of disks or boats, which looks like a kind of bifurcation phenomena. In a theoretical research, the unidirectional motion is represented by a traveling wave solution in a model. Hence it suffices to investigate a linearized...
Application of a second order VSC to nonlinear systems in multi-input parametric-pure-feedback form
The use of a multi-input control design procedure for uncertain nonlinear systems expressible in multi-input parametric-pure feedback form to determine the control law for a class of mechanical systems is described in this paper. The proposed procedure, based on the well-known backstepping design technique, relies on the possibility of extending to multi-input uncertain systems a second order sliding mode control approach recently developed, thus reducing the computational load, as well as increasing...
Application of bounded operators and Lyapunov's majorizing equations to the analysis of differential equations with a small parameter
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