2018
DOI: 10.13108/2018-10-2-31
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Perturbation of second order nonlinear equation by delta-like potential

Abstract: Abstract. We consider boundary value problems for one-dimensional second order quasilinear equation on bounded and unbounded intervals of the real axis. The equation perturbed by the delta-shaped potential −1 (︀ −1 )︀ , where ( ) is a compactly supported function, 0 < ≪ 1. The mean value of ⟨ ⟩ can be negative, but it is assumed to be bounded from below ⟨ ⟩ − 0 . The number 0 is defined in terms of coefficients of the equation. We study the convergence rate of the solution of the perturbed problem to the solut… Show more

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