Application of Chapligin's theorem to autonomous systems.
Application of partial averaging for a class of integro-differential equations of Fredholm type.
Application of the averaging method for a two-point boundary problem for systems of integro-differential equations of Fredholm type.
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.
Applications numériques de la dualité en mécanique hamiltonienne
Applications of global bifurcation to existence theorems for Sturm-Liouville problems
Approximate methods for calculating the period of oscillations for the generalized Lienard's differential equation
Approximate solutions of the forced Duffing equation with mixed nonlinearities.
Approximation in Lie transformation groups by superposition of one-parameter subgroups. (Approximation in Lieschen Transformationsgruppen durch Überlagerung von einparametrigen Untergruppen.)
Approximation of limit cycle of differential systems with variable coefficients
The behavior of the approximate solutions of two-dimensional nonlinear differential systems with variable coefficients is considered. Using a property of the approximate solution, so called conditional Ulam stability of a generalized logistic equation, the behavior of the approximate solution of the system is investigated. The obtained result explicitly presents the error between the limit cycle and its approximation. Some examples are presented with numerical simulations.
Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations
The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions remain valid....
Approximative sequences and almost homoclinic solutions for a class of second order perturbed Hamiltonian systems
In this work we will consider a class of second order perturbed Hamiltonian systems of the form , where t ∈ ℝ, q ∈ ℝⁿ, with a superquadratic growth condition on a time periodic potential V: ℝ × ℝⁿ → ℝ and a small aperiodic forcing term f: ℝ → ℝⁿ. To get an almost homoclinic solution we approximate the original system by time periodic ones with larger and larger time periods. These approximative systems admit periodic solutions, and an almost homoclinic solution for the original system is obtained...
Associated linear differential equations to linear second order differential equations of Sturm, Jacobi and general form
Asymmetric bound states of differential equations in nonlinear optics
Asymptotes verticales des solutions des équations différentielles
Asymptotic analyses of two fourth order linear differential equations
Asymptotic analysis of -th order differential equations
Asymptotic analysis of positive solutions of generalized Emden-Fowler differential equations in the framework of regular variation
Positive solutions of the nonlinear second-order differential equation are studied under the assumption that p, q are generalized regularly varying functions. An application of the theory of regular variation gives the possibility of obtaining necessary and sufficient conditions for existence of three possible types of intermediate solutions, together with the precise information about asymptotic behavior at infinity of all solutions belonging to each type of solution classes.
Asymptotic and integral equivalence of multivalued differential systems
Asymptotic and oscillation properties of third order linear differential equations