On stability of solutions to linear systems with periodic coefficients.
On strongly monotone flows
M. Hirsch's famous theorem on strongly monotone flows generated by autonomous systems u'(t) = f(u(t)) is generalized to the case where f depends also on t, satisfies Carathéodory hypotheses and is only locally Lipschitz continuous in u. The main result is a corresponding Comparison Theorem, where f(t,u) is quasimonotone increasing in u; it describes precisely for which components equality or strict inequality holds.
On the asymptotic behavior of solutions of certain third-order nonlinear differential equations.
On the asymptotic behavior of solutions of nonlinear ordinary differential equations
On the boundedness and oscillation of solutions to .
On the boundedness and periodicity of solutions of second-order functional differential equations with a parameter
On the boundedness and the stability results for the solutions of certain third order non-linear differential equations
On the boundedness of solutions of a certain fourth-order nonlinear differential equation
On the boundedness of solutions of higher order differential equations
On the boundedness of solutions of nonlinear second-order differential equations with parameter
On the boundedness of the solutions of the continuous Riccati equation.
On the concave solutions of the Blasius equation.
On the dynamics of the generalized Emden-Fowler equation.
On the existence and boundedness of solutions of a nonlinear delay differential system
On the existence of a bounded solution of a non-linear differential equation
On the existence of bounded solutions of differential equations in Banach spaces
On the Existence of Oscillatory Solutions of the Second Order Nonlinear ODE
The paper investigates the singular initial problem[4pt] [4pt] on the half-line . Here , where , and are zeros of , which is locally Lipschitz continuous on . Function is continuous on , has a positive continuous derivative on and . Function is continuous on and positive on . For specific values we prove the existence and uniqueness of damped solutions of this problem. With additional conditions for , and it is shown that the problem has for each specified a unique...
On the existence of proper and vanishing at infinity solutions to odd-order nonlinear ordinary differential equations.
On the existence of singular solutions.
On the exponential stability of a certain Lurie system