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Nonlinear Oscillations

, Volume 11, Issue 3, pp 442–460 | Cite as

Invertibility of the nonlinear operator \(\left( {{\mathcal{L}}x} \right)\left( t \right) = H\left( {x\left( t \right),\;\frac{{dx\left( t \right)}} {{dt}}} \right)\) in the space of functions bounded on the axis

  • V. Yu. Slyusarchuk
Article
  • 13 Downloads
We obtain conditions for the invertibility of the nonlinear differential operator
$$\left( {{\mathcal{L}}x} \right)\left( t \right) = H\left( {x\left( t \right),\;\frac{{dx\left( t \right)}} {{dt}}} \right)$$
in the space of functions bounded on the axis.

Keywords

Banach Space Periodic Solution Nonlinear Differential Equation Nonlinear Operator Functional Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.National University of Water Management and Nature Resources ApplicationRivneUkraine

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