The period of oscillations in non-linear systems
The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the p-Laplacian
We prove an Ambrosetti–Prodi type result for the periodic solutions of the equation , when is arbitrary and or when . The proof uses upper and lower solutions and the Leray–Schauder degree.
The periodic problem for semilinear differential inclusions in Banach spaces
Sufficient conditions on the existence of periodic solutions for semilinear differential inclusions are given in general Banach space. In our approach we apply the technique of the translation operator along trajectories. Due to recent results it is possible to show that this operator is a so-called decomposable map and thus admissible for certain fixed point index theories for set-valued maps. Compactness conditions are formulated in terms of the Hausdorff measure of noncompactness.
The periods of the Volterra-Lotka system.
The Poincaré-Bendixson Theorem: from Poincaré to the XXIst century
The Poincaré-Bendixson Theorem and the development of the theory are presented - from the papers of Poincaré and Bendixson to modern results.
The semilinear Feng and FMV spectra.
The set of first-order differential equations with periodic or bounded solutions.
The objective of this note is the announcement of two results of Ambrosetti-Prodi type concerning the existence of periodic (respectively bounded) solutions of the first order differential equation x' = f (t,x).
The solution of the two-point boundary value problem for a nonlinear differential equation of the third order
The uniqueness of the periodic solution for a class of differential equations.
The Weinstein Conjecture in P X Cl.
Three periodic solutions for an ordinary differential inclusion with two parameters
Applying a nonsmooth version of a three critical points theorem of Ricceri, we prove the existence of three periodic solutions for an ordinary differential inclusion depending on two parameters.
Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems.
To existence of the periodic solution of a third-order nonlinear differential equation
Topologická klasifikácia diferenciálnych rovníc a štrukturálna stabilita
Travelling wave solutions for the Painlevé-integrable coupled KdV equations.
Two classical periodic problems on time scales.
Two-sided approximation to periodic solutions of ordinary differential equations.
Tеоремы существования неотрицательных периодических решений конечных и счетных систем дифференциальных уравнений и теорема существования решений счетных систем дифференциальных уравнений
Über die Existenz einer begrenzten und periodischen Lösung der nichtlinealisierten Jacobischen Gleichung mit negativ definitivem Träger
Über eine nichtlineare Differentialgleichung dritter Ordnung