Stability and stabilization of weak solutions

  • Alexander Ya. Shklyar
Part of the Operator Theory Advances and Applications book series (OT, volume 92)


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+: \( \mathop {\sup }\limits_{t \in R_ + } \left\| {y(t)} \right\| < + \infty \)\( \left( {i.e.,\exists C_y < + \infty :\left\| {y(t)} \right\| \leqslant C_y ,\forall t \in R_ + } \right). \)

Copyright information

© Birkhäuser Verlag 1997

Authors and Affiliations

  • Alexander Ya. Shklyar
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine

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