On the asymptotic behaviour of the equation with a complex-valued function
On the asymptotic classes of solutions of a superlinear differential equation
On the asymptotic expansion of the Airy function
Si prova una nuova formula di rappresentazione per la famosa funzione di Airy. Ne viene data applicazione per la determinazione di certi bounds significativi per la funzione stessa.
On the Asymptotic Relationship at Infinity between the solutions of two Differential Systems
On the asymptotic series solution of some higher order linear differential equations at turning points.
On the averaging method for differential equations with delay.
On the behaviour of solutions of the differential equations
On the convergence of multistep methods for nonlinear stiff differential equations.
On the exact WKB analysis of microdifferential operators of WKB type
We first introduce the notion of microdifferential operators of WKB type and then develop their exact WKB analysis using microlocal analysis; a recursive way of constructing a WKB solution for such an operator is given through the symbol calculus of microdifferential operators, and their local structure near their turning points is discussed by a Weierstrass-type division theorem for such operators. A detailed study of the Berk-Book equation is given in Appendix.
On the existence of a measure unbounded exponential spectral characteristic set of a linear system with a small parameter at the derivative.
On the existence of canard solutions
We study the existence of global canard surfaces for a wide class of real singular perturbation problems. These surfaces define families of solutions which remain near the slow curve as the singular parameter goes to zero.
On the existence of solutions of the singular Cauchy problem for systems of differential equations not solved with respect to the derivatives.
On the functional integrability and asymptotic behaviours of a certain differential equation with delay
On the -boundedness of solutions for products of quasi-integro differential equations.
On the Liouville-type transformation for differential systems
On the number of positive solutions of singularly perturbed 1D nonlinear Schrödinger equations
We study singularly perturbed 1D nonlinear Schrödinger equations (1.1). When has multiple critical points, (1.1) has a wide variety of positive solutions for small and the number of positive solutions increases to as . We give an estimate of the number of positive solutions whose growth order depends on the number of local maxima of . Envelope functions or equivalently adiabatic profiles of high frequency solutions play an important role in the proof.
On the order reduction of optimal control systems
On the question of generalized solution to algebro-differential systems.
On the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions.
On the time-dependent parabolic wave equation.