On the second order equations with nonlinear impulses - Fredholm alternative type results
Keywords
Ordinary differential equations of the second order with impulses, resonance problems, Landesman-Lazer conditionsAbstract
We consider the semilinear homogeneous Dirichlet boundary value problem for the second order equation on a finite interval with nonlinear impulses in the derivative at prescribed points. We introduce Landesman-Lazer type necessary and sufficient conditions for resonance problems and generalize the Fredholm alternative results for linear operators. An interaction between nonlinear restoring force and nonlinear impulses is presented.Downloads
Published
2016-04-12
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1.
DRÁBEK, Pavel and LANGEROVÁ, Martina. On the second order equations with nonlinear impulses - Fredholm alternative type results. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 44, no. 1, pp. 249 - 261. [Accessed 28 March 2024].
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