A singular eigenvalue problem for second order linear ordinary differential equations.
On a class of functional differential equations having slowly varying solutions.
On Positive Entire Solutions of a Class of Second Order Semilinear Elliptic Systems.
On Second Order Functional Differential Equations and Inequalities with Deviating Arguments.
Positive Solutions of a Class of Second Order Semilinear Elliptic Equations in the Plane.
Vanishing Oscillations of Solutions of a Class of Differential Systems with Retarded Argument
Si dànno condizioni sufficienti perché tutte le traiettorie oscillatorie del sistema differenziale , tendano a zero quando .
Picone's Identity for Ordinary Differential Operators of Even Order
In questo lavoro la ben nota identità di M. Picone è generalizzata agli operatori differenziali ordinari autoaggiunti di ordine superiore. Tale identità generalizzata è impiegata per conseguire teoremi di confronto del tipo di Sturm e criteri di non oscillazione per le soluzioni di equazioni (o diseguaglianze) relative a tali operatori.
Comparison and Nonoscillation Theorems for Fourth Order Elliptic Systems
Scopo di questo lavoro è di stabilire alcuni criteri di non-oscillazione nel senso di Kuks [2] e teoremi di confronto del tipo di Sturm per una classe di sistemi ellittici di equazioni a derivate parziali del quarto ordine.
A supersolution-subsolution method for nonlinear biharmonic equations in
On unbounded positive solutions of nonlinear differential equations with oscillating coefficients
On a class of first order nonlinear functional differential equations of neutral type
Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type
This paper establishes existence of nonoscillatory solutions with specific asymptotic behaviors of second order quasilinear functional differential equations of neutral type. Then sufficient, sufficient and necessary conditions are proved under which every solution of the equation is either oscillatory or tends to zero as .
Forced oscillations in functional differential equations with deviating arguments
Picone-type inequalities for nonlinear elliptic equations and their applications.
Remarks on the Existence of Regularly Varying Solutions for Second Order Linear Differential Equations
Existence of regularly and rapidly varying solutions for a class of third order nonlinear ordinary differential equations.
Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications.
Decaying Entire Positive Solutions of Quasilinear Elliptic Equations.
Generalized Picone's formula and forced oscillations in quasilinear differential equations of the second order
In the paper a comparison theory of Sturm-Picone type is developed for the pair of nonlinear second-order ordinary differential equations first of which is the quasilinear differential equation with an oscillatory forcing term and the second is the so-called half-linear differential equation. Use is made of a new nonlinear version of the Picone’s formula.
Singular eigenvalue problems for second order linear ordinary differential equations
We consider linear differential equations of the form on an infinite interval and study the problem of finding those values of for which () has principal solutions vanishing at . This problem may well be called a singular eigenvalue problem, since requiring to be a principal solution can be considered as a boundary condition at . Similarly to the regular eigenvalue problems for () on compact intervals, we can prove a theorem asserting that there exists a sequence of eigenvalues such...
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