The best constant of Sobolev inequality corresponding to clamped boundary value problem.
The bifurcation set for the resonance problem.
The Blasius function in the complex plane.
The bounce problem, on n-dimensional Riemannian manifolds
In questo lavoro vengono generalizzati i risultati relativi al problema del rimbalzo unidimensionale studiato in [5]. Precisamente si considera un punto mobile su una varietà Riemanniana -dimensionale, soggetto all’azione di un potenziale variabile nel tempo e vincolato a restare in una parte di avente un bordo di classe contro cui il punto «rimbalza»....
The boundary curves of three classes of the second order nonlinear ordinary differential equations
The boundary value problems for ordinary non-linear differential and difference equations of the fourth order
The Cauchy problem for semilinear weakly hyperbolic equations in Hilbert spaces
The Cauchy problem of the one dimensional Schrödinger equation with non-local potentials.
The Cauchy-Nicoletti problem with poles.
The Central Connection Problem at Turning Points of Linear Differential Equations
The characteristic multipliers of a block and of an inverse block of second-order linear differential equations with -periodic coefficients
The coincidence index for fundamentally contractible multivalued maps with nonconvex values
We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given.
The conjugate of a singular functional differential operator.
The Conley index in Hilbert spaces and its applications
We present a generalization of the classical Conley index defined for flows on locally compact spaces to flows on an infinite-dimensional real Hilbert space H generated by vector fields of the form f: H → H, f(x) = Lx + K(x), where L: H → H is a bounded linear operator satisfying some technical assumptions and K is a completely continuous perturbation. Simple examples are presented to show how this new invariant can be applied in searching critical points of strongly indefinite functionals having...
The connection between number and form of bifurcation points and properties of the nonlinear perturbation of Berestycki type
The constants of the Volterra derivation
The ring of constants of the Volterra derivation is found. Confirming a conjecture of Zielinski, it is always a polynomial ring.
The control agglomerations of an internet network with delay feedback.
The Convergence of Spline Collocation for Strongly Elliptic Equations on Curves.
The -stability problem for real matrices
We give detailed discussion of a procedure for determining the robust -stability of a real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.
The degeneration of reachable singular systems under feedback-transformations