Abstract
Definition 10.1. Let A and B he c.n.o. in H. Equation (1) is said to be stable on R+ if for every weak solution y(t) of (1) on R+: \( \mathop {\sup }\limits_{t \in R_ + } \left\| {y(t)} \right\| < + \infty \)\( \left( {i.e.,\exists C_y < + \infty :\left\| {y(t)} \right\| \leqslant C_y ,\forall t \in R_ + } \right). \)
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Birkhäuser Verlag
About this chapter
Cite this chapter
Shklyar, A.Y. (1997). Stability and stabilization of weak solutions. In: Complete Second Order Linear Differential Equations in Hilbert Spaces. Operator Theory Advances and Applications, vol 92. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9187-5_11
Download citation
DOI: https://doi.org/10.1007/978-3-0348-9187-5_11
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9940-6
Online ISBN: 978-3-0348-9187-5
eBook Packages: Springer Book Archive