## Progress in Mathematics, Volume 2 |

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### Contents

The Theory and Methods of Investigation | 1 |

Series Solutions | 7 |

The LyapunovSchmidt Method in Banach Spaces | 17 |

Copyright | |

10 other sections not shown

### Common terms and phrases

Akad Akhmedov analytic Aronszajn Azerb Baku Banach space Besov boundary boundary-value problem bounded linear operator branch branch-point equation Bugrov characteristic value class of nonlinear coefficients completely continuous considered Constructive Function Theory continuation of solutions continuation theorem convergent convergent series defined Definition differentiable functions differential equations Dokl Dzhafarov entire functions finite degree Fiz.-Mat Fourier fractional powers func function spaces functions of finite Golovkin Gudiev Ibragimov imbedding theorems Inst integral or fractional integro-differential equations Kipriyanov linear operator Lizorkin Math Mathematics method mixed derivatives Nauk AzerbSSR Nauk SSSR Nazarov Newton's diagram nonlinear equations nonlinear integral equations null spaces number of small number of solutions parameter polynomials positive integer proved S. M. Nikol'skii series of integral singular solutions small solutions Sobolev Solonnikov solutions of 6.1 solutions of nonlinear spaces Bp tion Tomsk Trenogin Univ Vainberg variables vector Vestn