On Bounded Solutions of Some Classes of Two-Parameter Difference Equations in a Banach Space

M. F. Gorodnii,O. A. Lagoda

On Bounded Solutions of Some Classes of Two-Parameter Difference Equations in a Banach Space

2000

M. F. Gorodnii
O. A. Lagoda

We obtain criteria for the existence of bounded solutions of some classes of linear two-parameter difference equations with operator coefficients in a Banach space.

Keywords:

Approximation property
Mathematics
Mathematical analysis
Spectrum (functional analysis)
Operator space
Pseudo-monotone operator
Finite-rank operator
Operator topologies
Bounded inverse theorem
C0-semigroup
Topology
Compact operator
Bounded operator

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