Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 5

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: przestrzeń Frecheta

Sortuj według:

Ogranicz wyniki do:

Fixed point theory for Volterra Kakutani Monch maps

Banaś J., O'Regan D.

Journal of Mathematics and Applications

2008

Vol. 30

33-41

New fixed point theorems for multivalued Volterra Kakutani Mönch maps between Fréchet spaces are presented. The proof relies on fixed point theory in Banach spaces and viewing a Frechét space as the projective limit of a sequence of Banach spaces.

Set differential equations in Frechet spaces

Galanis G., N., Bhaskar T., G., Lakshmikantham V.

Journal of Applied Analysis

2008

Vol. 14, nr 1

103-113

It is known that a frachet space F can be realized as a projective limit of a sequence of Banach spaces Ei. The space Kc(F) of all compact, convex subsets of a Frechet space, F, is realized as a projective limit of the semilinear metric spaces Kc(Ei). Using the notion of Hukuhara derivative for maps with values in Kc(F), we prove the local and global existence theorems for an initial value problem associated with a set differential equation.

A class of hypercyclic Volterra composition operators

Herzog G., Weber A.

Demonstratio Mathematica

2006

Vol. 39, nr 2

465-468

We prove that certain Volterra composition operators are hypercyclic on the Frechet space of all continuous functions u : [0,1) ->- R or C with u(0) = 0.

On solvability of linear differential equations in Rn

Shkarin S. A.

Demonstratio Mathematica

2005

Vol. 38, nr 1

85--99

We construct xo is an element of RN and a row-finite matrix T = {Ti,j(t)}i,j is an element of N of polynomials of one real variable t such that the Cauchy problem x(t) = Ttx(t), x{0) = xo in the Frechet space RN has no solutions. We also construct a row-finite matrix A = {Aij(t)}ij is an element of N of C°°(R) functions such that the Cauchy problem x{t) = Atx;(t), x(0) = xo in RN has no solutions for any xo infinity RN\ {0}. We provide some sufficient condition of solvability and unique solvability for linear ordinary differential equations x(t) = Ttx(t) with matrix elements Ti,j(t) analytically dependent on t.

Nonlinear fundamental systems for linear differential equations in Frechet spaces

Herzog G., Lemmert R.

Demonstratio Mathematica

2000

Vol. 33, nr 2

313-318

Let E be a Frechet space. We prove that ex (E) = ex1 (E), that is that the IVP u' = Au + f, u(0) = uo is always solvable if the homogeneous problem u' = Au, u(0) = uo is always solvable (even if this solution is not unique). Moreover we prove that there is a continuous, in general nonlinear selection of solutions, which can be applied to prove an existence theorem for u = Au u+ g(',u), u(0) = uo.