Pure imaginary solutions of the second Painlevé equation.
Qualitative theory of half-linear second order differential equations
Radial selfsimilar solutions of a nonlinear Ornstein-Uhlenbeck equation.
Regular Variation And Asymptotic Properties Of Solutions Of Nonlinear Differential Equations
Regular variation and asymptotic properties of solutions of nonlinear differential equations.
Regularly varying solutions of generalized Thomas-Fermi equations
Regularly Varying Solutions of Perturbed Euler Differential Equations and Related Functional Differential Equations
Remarks on the Existence of Regularly Varying Solutions for Second Order Linear Differential Equations
Remarque sur la méthode de la variation de la constante généralisée
Representations of solutions of periodic second order linear differential equations.
Resommation des series formelles. Solutions d'équations différentielles linéaires ordinaires du second ordre dans le champ complexe au voisinage de singularités irrégulières.
Restricted total stability and total attractivity.
Retracts, fixed point index and differential equations.
Some problems in differential equations evolve towards Topology from an analytical origin. Two such problems will be discussed: the existence of solutions asymptotic to the equilibrium and the stability of closed orbits of Hamiltonian systems. The theory of retracts and the fixed point index have become useful tools in the study of these questions.
Second order differential equations with complex-valued coefficients
Second-order differential equations with asymptotically small dissipation and piecewise flat potentials.
Self similar solutions of generalized Burgers equation.
Singular integral inequalities and stability of semilinear parabolic equations
Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.
Singular solutions for the differential equation with -Laplacian
In the paper a sufficient condition for all solutions of the differential equation with -Laplacian to be proper. Examples of super-half-linear and sub-half-linear equations , are given for which singular solutions exist (for any , , ).
Solutions approaching polynomials at infinity to nonlinear ordinary differential equations.
Some classes of linear th-order differential equations
Sufficient conditions for the -th order linear differential equation are derived which guarantee that its Cauchy function , together with its derivatives , , is of constant sign. These conditions determine four classes of the linear differential equations. Further properties of these classes are investigated.