## Sixteen papers on differential equationsTranslations of articles on mathematics appearing in various Russian mathematical serials. |

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### Contents

A Oleinik and E V Radkevic On the analyticity of solutions of linear | 13 |

P R Popivanov On the local solvability of a class of pseudodifferential equa | 51 |

TanHH BepcanbHue aeiopMauHH jiHHettHbix raMwibTOHOBbix | 63 |

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15 other sections not shown

### Common terms and phrases

analytic annulus Assertion assume Banach space boundary conditions Cauchy problem characteristic coefficients compact consider const constant construct continuous function continuously differentiable converges defined Definition denote depend derivatives determined differential equations differential operator domain eigenvalues elliptic English transl equicontinuous exists finite foliation formula Fourier integral operator fundamental solution germ grad Hamiltonian hence holds homeomorphic homogeneous Hopf equation hyperbolic operator inequality initial condition integrability conditions invariant with respect Lemma linear Lipschitz condition manifold mapping Math Mathematics Subject Classification matrix multiplicity Nauk neighborhood norm normal surface obtain operator P(x parabolic parameter Petrovsk pm(x polynomial proof of Theorem Proposition proved pseudodifferential operator Remark right side sequence smooth function solution of problem solution u(t solvability sufficiently small Suppose symbol Taylor series uniformly bounded unique Uspehi Mat values in CAP(R vanishing cycles weak lacuna