Current Problems of Mathematics: Collection of Papers Dedicated to Akademician Lev Semenovich Pontryagin on His 75th Birthday. Differential equations, mathematical analysis and their applications, Volume 1American Mathematical Soc., 1986 - 271 pages |
Contents
ON THE MATHEMATICAL WORK OF L S PONTRYAG1N | 1 |
AND INTERPOLATION THEOREMS | 17 |
THE MAXIMUM PRINCIPLE FOR DIFFERENTIAL INCLUSIONS | 23 |
AND A COMPLETE ORTHONORMAL SYSTEM IN THE FUTURE TUBE | 45 |
ON THE DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS | 53 |
THE PROBLEM OF PURSUIT BY SEVERAL OBJECTS | 63 |
OF THE CAUCHY PROBLEM FOR A SECONDORDER HYPERBOLIC EQUATION | 79 |
AND A PRECISE SAINTVENANT PRINCIPLE FOR SOLUTIONS OF THE BIHARMONIC EQUATION | 97 |
IN CRYSTALS AND DIFFERENCE SCHEMES I | 143 |
REPRESENTATIONS OF COMPACT GROUPS IN HILBERT MODULES OVER CALGEBRAS | 179 |
EOR A LINEAR CONTROL SYSTEM WITH INTEGRAL QUADRATIC PERFORMANCE INDEX | 197 |
APPROXIMATION BY SPHERICAL POLYNOMIALS | 207 |
CRITICAL POINTS AND LEVEL SURFACES OF MULTIVALUED FUNCTIONS | 223 |
SPECIAL INFINITESIMAL BENDINGS OF CONVEX SURFACES | 233 |
FOR LINEAR DIFFERENTIAL OPERATORS AND THE METHOD OF ADJOINT EQUATIONS | 237 |
ON DEGENERATION OF K3 SURFACES | 247 |
ON DECOMPOSITIONS OF CLASSICAL LIE ALGEBRAS | 117 |
THE ENVIRONMENT AND OPTIMIZATION PROBLEMS | 135 |
ON A PROBLEM OF OPTIMIZING TRANSITION PROCESSES | 261 |
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Common terms and phrases
a₁ abelian group analogous arbitrary automorphism B₁ belongs biharmonic equation boundary conditions boundary value bounded Cauchy problem coefficients compact cone consider construct continuous convex corresponding curve defined denote differential equation differential game differential inclusion Dokl domain duality elements English transl estimate evader exists fiber finite follows formula function ƒ h₁ Hence Hilbert A-module Hilbert module homology groups homomorphism inequality integral isomorphic K3 surfaces Lemma Lie algebra linear m₁ m₂ manifolds mapping Math Mathematics Subject Classification matrix maximum principle module Morse theory Moscow Nauka norm obtain operator optimal control orthogonal P₁ Pontryagin position zº proof proved pursuers respect to h right-hand side satisfies smooth solution of problem space subgroup subspace t₁ theorem theory topological trajectories uniformly with respect vector X₁ zero дх