An existence theorem for solutions of -th order nonlinear differential equations in the complex domain
An existence theorem of positive solutions to a singular nonlinear boundary value problem
In this note we consider the boundary value problem
An existence theorem of the Leray-Schauder type for four-point boundary value problems
An exotic flow on a compact surface
In 1988 Anosov [1] published the construction of an example of a flow (continuous real action) on a cylinder or annulus with a phase portrait strikingly different from our normal experience. It contains orbits whose -limit sets contain a non-periodic orbit along with a simple closed curve of fixed points, but these orbits do not wrap down on this simple closed curve in the usual way. In this paper we modify some of Anosov’s methods to construct a flow on a surface of genus with equally striking...
An exponentially fitted method for singularly perturbed delay differential equations.
An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition.
An extension of a result by Dinaburg and Sinai on quasi-periodic potentials.
An extension of Duhamel's integral to differential equations involving generalized functions; the steady-state solution
An extension of Horn's theorem for a space of locally integrable functions.
An extension of Krein's inverse spectral theorem to strings with nonreflecting left boundaries
An extension of Milloux's theorem to half-linear differential equations.
An extension of the invariance principle for a class of differential equations with finite delay.
An extension of the method of quasilinearization
The method of quasilinearization is a well–known technique for obtaining approximate solutions of nonlinear differential equations. This method has recently been generalized and extended using less restrictive assumptions so as to apply to a larger class of differential equations. In this paper, we use this technique to nonlinear differential problems.
An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms
We give a proof of the fact that any holomorphic Pfaffian form in two variables has a convergent integral curve. The proof gives an effective method to construct the solution, and we extend it to get a Gevrey type solution for a Gevrey form.
An extension theorem to rough paths
An -system for a revolution surface without boundary.
An illustrative example for the Perron condition
An Improved Boundary Layer Estimate for a Singularly Perturbed Initial Value Problem.
An improved existence and uniqueness criterion for periodic solutions of a Duffing type p-Laplacian equation.
An improvement of the non-existence region for limit cycles of the Bogdanov-Takens system
In this paper, an improvement of the global region for the non-existence of limit cycles of the Bogdanov-Takens system, which is well-known in the Bifurcation Theory, is given by two ideas. The first is to apply the existence of the algebraic invariant curve of the system to the Bendixson-Dulac criterion, and the second is to consider a necessary condition in order that a closed orbit of the system includes two equilibrium points. In virtue of these methods, it shall be shown that our previous result...