Properties of solutions to a generalized Liénard equation with forcing term.
Properties of solutions to a second order nonlinear differential equation.
Psi-bounded solutions for linear differential systems with Lebesgue psi-integrable functions on R as right-hand sides.
Qualitative behavior of a class of second order nonlinear differential equations on the halfline
A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Qualitative behavior of a generalized Emden-Fowler differential system
Qualitative investigation of nonlinear differential equations describing infiltration of water
A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
Qualitative theory of half-linear second order differential equations
Radial solutions of equations and inequalities involving the -Laplacian.
Regularity, nonoscillation and asymptotic behaviour of solutions of second order linear equations.
Regularly Varying Solutions of Perturbed Euler Differential Equations and Related Functional Differential Equations
Remarks on bounded solutions for some nonautonomous ODE.
Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, II
We consider the half-linear differential equation of the form under the assumption that is integrable on . It is shown that if a certain condition is satisfied, then the above equation has a pair of nonoscillatory solutions with specific asymptotic behavior as .
Remarks on the Existence of Regularly Varying Solutions for Second Order Linear Differential Equations
Resonance in Preisach systems
This paper deals with the asymptotic behavior as of solutions to the forced Preisach oscillator equation , , where is a Preisach hysteresis operator, is a given function and is the time variable. We establish an explicit asymptotic relation between the Preisach measure and the function (or, in a more physical terminology, a balance condition between the hysteresis dissipation and the external forcing) which guarantees that every solution remains bounded for all times. Examples show...
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.