Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
19.02.1982
E-mail: ,
Keywords: method of averaging, Levinson theorem, systems with oscillatory decreasing coefficients, Van-der-Pol equation, linear difference equations, asymptotic integration.
Subject:
Systems with oscillatory decreasing coefficients; singularly perturbed systems; normal & quasinormal forms methods; asymptotic methods in differential equations theory.
Main publications:
Nesterov P.N., “Metod usredneniya v zadache asimptoticheskogo integrirovaniya sistem s kolebatelno ubyvayuschimi koeffitsientami”, Differentsialnye uravneniya, 43:6 (2007), 731-742
Nesterov P., “Method of averaging for systems with main part vanishing at infinity”, Mathematische Nachrichten, 284:11-12 (2011), 1496-1514
Nesterov P., “Appearance of new parametric resonances in time-dependent harmonic oscillator”, Results in Mathematics, 64:3-4 (2013), 229-251
Nesterov P., “On some extension of center manifold method to functional differential equations with oscillatory decreasing coefficients and variable delays”, Journal of Dynamics and Differential Equations, 30:4 (2018), 1797-1816
Nesterov P., “Asymptotic summation of perturbed linear difference systems in critical case”, Journal of Difference Equations and Applications, 25:8 (2019), 1173-1199
