Self-adjoint differential equations and generalized Karamata functions
Seventy-five years of global analysis around the forced pendulum equation
Similarity solutions for high frequency excitation of liquid metal in an antisymmetric magnetic field
The aim of this paper is to investigate, as precisely as possible, a boundary value problem involving a third order ordinary differential equation. Its solutions are the similarity solutions of a problem arising in the study of the phenomenon of high frequency excitation of liquid metal systems in an antisymmetric magnetic field within the framework of boundary layer approximation.
Singular and nonsingular boundary value problems with sign changing nonlinearities.
Singular solutions of a singular differential equation.
Solution dependence on problem parameters for initial-value problems associated with the Stieltjes Sturm-Liouville equations.
Solutions d'une equation differentielle au deuxieme membre factorise dans les voisinages des fonctions donnees et leur stabilite
Solutions of linear impulsive differential systems bounded on the entire real axis.
Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients
Some analogues for higher monotonicity of the Sonin-Butlewski-Pólya theorem
Some characteristics of Hill's equations
Some new results in 1D inverse scattering
Some nonlinear delay integral inequalities and their discrete analogues.
Some observations on a Conti's result
An extension of a result of R. Conti is given from which some integro-differential inequalities of the Gronwall-Bellman-Bihari type and a criterion for the continuation of solutions of a system of ordinary differential equations are deduced.
Some properties of Legendre functions and related applications.
Some remarks on a terminal value problem
Some results on the ultimate behavior of solutions of Volterra functional-differential equations
Some stability and boundedness results for the solutions of certain fourth order differential equations
Sufficient conditions are established for the asymptotic stability of the zero solution of the equation (1.1) with and the boundedness of all solutions of the equation (1.1) with . Our result includes and improves several results in the literature ([4], [5], [8]).
Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations
In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.
Stability and boundedness of solutions of nonlinear vector differential equations of third order
The paper studies the equation in two cases: (i) , (ii) . In case (i), the global asymptotic stability of the solution is studied; in case (ii), the boundedness of all solutions is proved.