Higher monotonicity properties of special functions: application on Bessel case
Increasing solutions of .
Integrability of blow-up solutions to some non-linear differential equations.
Integral Equivalence of Two Systems of Differential Equations
Si studia l'equivalenza asintotica fra le soluzioni di un sistema lineare e quelle di una perturbazione non lineare. Vengono date condizioni sufficienti per l'esistenza di un omeomorfìsmo fra le soluzioni limitate di tali sistemi.
Integral equivalence of two systems of differential equations
Lagrangian stability of a class of second-order periodic systems.
Landau-type inequalities and -bounded solutions of neutral delay systems.
Levin's comparison theorems for second order nonlinear differential equations and inequalities
Limit and integral properties of principal solutions for half-linear differential equations
Some asymptotic properties of principal solutions of the half-linear differential equation
Limit behavior of solutions of ordinary linear differential equations.
Linear differential equations of the 2nd order whose principal solution has unbounded logarithmic derivative
Linear perturbations of general disconjugate equations
Linearized comparison criteria for a nonlinear neutral differential equation
A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.
Long term behavior of solutions for Riccati initial-value problems.
Majorization of -semigroups in ordered Banach spaces
We give criteria for domination of strongly continuous semigroups in ordered Banach spaces that are not necessarily lattices, and thus obtain generalizations of certain results known in the lattice case. We give applications to semigroups generated by differential operators in function spaces which are not lattices.
Mathematical analysis of the optimizing acquisition and retention over time problem
While making informed decisions regarding investments in customer retention and acquisition becomes a pressing managerial issue, formal models and analysis, which may provide insight into this topic, are still scarce. In this study we examine two dynamic models for optimal acquisition and retention models of a monopoly, the total cost and the cost per customer models. These models are analytically analyzed using classical, direct, methods and asymptotic expansions (for the total cost model). In...
Mathematical analysis of the optimizing acquisition and retention over time problem
While making informed decisions regarding investments in customer retention and acquisition becomes a pressing managerial issue, formal models and analysis, which may provide insight into this topic, are still scarce. In this study we examine two dynamic models for optimal acquisition and retention models of a monopoly, the total cost and the cost per customer models. These models are analytically analyzed using classical, direct, methods and asymptotic expansions (for the total cost model). In...
Maximum principles and uniqueness results of phi-Laplacian boundary value problems.
Monotone methods applied to some higher order boundary value problems.
Monotone trajectories of dynamical systems and Clarke's generalized Jacobian.