A- and B-Stability for Runge-Kutta Methods - Characterizations and Equivalence.
A barrier method for quasilinear ordinary differential equations of the curvature type
A bifurcation result for Sturm-Liouville problems with a set-valued term.
A bound sets technique for Dirichlet problem with an upper-Carathéodory right-hand side
In this paper, the existence and the localization result will be proven for vector Dirichlet problem with an upper-Carathéodory right-hand side. The result will be obtained by combining the continuation principle with bound sets technique.
A boundary value problem arising in the flow of a viscous fluid
A boundary value problem for non-linear differential equations with a retarded argument
A boundary value problem of fractional order at resonance.
A branching method for studying stability of a solution to a delay differential equation.
A. C. Clarke's Space Odyssey and Newton's law of gravity
In his famous tetralogy, Space Odyssey, A. C. Clarke called the calculation of a motion of a mass point in the gravitational field of the massive cuboid a classical problem of gravitational mechanics. This article presents a proposal for a solution to this problem in terms of Newton's theory of gravity. First we discuss and generalize Newton's law of gravitation. We then compare the gravitational field created by the cuboid -- monolith, with the gravitational field of the homogeneous sphere. This...
A cantilever equation with nonlinear boundary conditions.
A C...-Collocation-like Method for Two-Point Boundary Value Problems.
A certain type of partial differential equations on tori
The existence of classical solutions for some partial differential equations on tori is shown.
A characterization of evolution operators
A class of evolution operators is introduced according to the device of Kato. An evolution operator introduced here provides a classical solution of the linear equation u'(t) = A(t)u(t) for t ∈ [0,T], in a general Banach space. The paper presents a necessary and sufficient condition for the existence and uniqueness of such an evolution operator.
A characterization of isochronous centres in terms of symmetries.
We present a description of isochronous centres of planar vector fields X by means of their groups of symmetries. More precisely, given a normalizer U of X (i.e., [X,U]= µ X, where µ is a scalar function), we provide a necessary and sufficient isochronicity condition based on µ. This criterion extends the result of Sabatini and Villarini that establishes the equivalence between isochronicity and the existence of commutators ([X,U]= 0). We put also special emphasis on the mechanical aspects of isochronicity;...
A characterization of the existence of solutions to some higher order boundary value problems
The aim of this short note is to present a theorem that characterizes the existence of solutions to a class of higher order boundary value problems. This result completely answers a question previously set by the authors in [Differential Integral Equations 6 (1993), 1119–1123].
A characterization of the generators of analytic -semigroups in the class of scalar type spectral operators.
A class of competing models with discrete delay
A class of differential equations similar to linear equations
A class of generalized uniform asymptotic expansions.
A class of growth and bounds to solutions of a differential equation.