Mathematics Subject Classification 1991

34-XX Ordinary differential equations ( 0 Dok.)

• 34-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 34-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 34-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 34-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 34-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 34-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 34Axx General theory ( 0 Dok. )
• 34A05 Explicit solutions and reductions ( 0 Dok.)
• 34A09 Implicit equations ( 0 Dok.)
• 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions ( 0 Dok.)
• 34A20 Differential equations in the complex domain, See Also {30D05, 32G34} ( 0 Dok.)
• 34A25 Analytical theory: series, transformations, transforms, operational calculus, etc., See also {44-XX, 47E05} ( 0 Dok.)
• 34A26 Geometric methods in differential equations ( 0 Dok.)
• 34A30 Linear equations and systems ( 0 Dok.)
• 34A34 Nonlinear equations and systems, general ( 0 Dok.)
• 34A35 Differential equations of infinite order ( 0 Dok.)
• 34A37 Differential equations with impulses ( 0 Dok.)
• 34A40 Differential inequalities ( 0 Dok.)
• 34A45 Theoretical approximation of solutions ( 0 Dok.)
• 34A46 Theoretical solution methods other than approximations ( 0 Dok.)
• 34A47 Bifurcation ( 0 Dok.)
• 34A50 Numerical approximation of solutions, {For numerical analysis, See 65Lxx} ( 0 Dok.)
• 34A55 Inverse problems ( 0 Dok.)
• 34A60 Equations with multivalued right-hand sides, See Also {49J24, 49K24} ( 0 Dok.)
• 34A65 Stiff equations ( 0 Dok.)
• 34A99 None of the above but in this section ( 0 Dok.)
• 34Bxx Boundary value problems, {For ordinary differential operators, See 34Lxx} ( 0 Dok. )
• 34B05 Linear equations ( 0 Dok.)
• 34B10 Multipoint boundary value problems ( 0 Dok.)
• 34B15 Nonlinear boundary value problems ( 0 Dok.)
• 34B20 Weyl theory and its generalizations ( 0 Dok.)
• 34B24 Sturm-Liouville theory, See also {34Lxx} ( 0 Dok.)
• 34B27 Green functions ( 0 Dok.)
• 34B30 Special equations (Mathieu, Hill, Bessel, etc.) ( 0 Dok.)
• 34B99 None of the above but in this section ( 0 Dok.)
• 34Cxx Qualitative theory, See also {58Fxx} ( 0 Dok. )
• 34C05 Location of integral curves, singular points, limit cycles ( 0 Dok.)
• 34C10 Oscillation theory, zeros, disconjugacy and comparison theory ( 0 Dok.)
• 34C11 Growth, boundedness, comparison of solutions ( 0 Dok.)
• 34C15 Nonlinear oscillations ( 0 Dok.)
• 34C20 Transformation and reduction of equations and systems, normal forms ( 0 Dok.)
• 34C23 Bifurcation See mainly{58F14} ( 0 Dok.)
• 34C25 Periodic solutions ( 0 Dok.)
• 34C27 Almost-periodic solutions ( 0 Dok.)
• 34C28 Other types of ``recurrent'' solutions ( 0 Dok.)
• 34C29 Averaging method ( 0 Dok.)
• 34C30 Manifolds of solutions ( 0 Dok.)
• 34C35 Dynamical systems, See also {54H20, 58Fxx, 70-XX} ( 0 Dok.)
• 34C37 Homoclinic and heteroclinic solutions, See also {58F15} ( 0 Dok.)
• 34C40 Equations and systems on manifolds See mainly{58Fxx, 58Gxx} ( 0 Dok.)
• 34C45 Method of integral manifolds ( 0 Dok.)
• 34C50 Method of accelerated convergence ( 0 Dok.)
• 34C99 None of the above but in this section ( 0 Dok.)
• 34Dxx Stability theory, See also {58F10, 93Dxx} ( 0 Dok. )
• 34D05 Asymptotic properties ( 0 Dok.)
• 34D08 Lyapunov exponents ( 0 Dok.)
• 34D10 Perturbations ( 0 Dok.)
• 34D15 Singular perturbations ( 0 Dok.)
• 34D20 Lyapunov stability ( 0 Dok.)
• 34D25 Popov-type stability ( 0 Dok.)
• 34D30 Structural stability and analogous concepts , See Also {58F10, 58F12} ( 0 Dok.)
• 34D35 Stability of manifolds of solutions ( 0 Dok.)
• 34D40 Ultimate boundedness ( 0 Dok.)
• 34D45 Attractors ( 0 Dok.)
• 34D99 None of the above but in this section ( 0 Dok.)
• 34Exx Asymptotic theory ( 0 Dok. )
• 34E05 Asymptotic expansions ( 0 Dok.)
• 34E10 Perturbations, asymptotics ( 0 Dok.)
• 34E15 Singular perturbations, general theory ( 0 Dok.)
• 34E20 Singular perturbations, turning point theory, WKB methods ( 0 Dok.)
• 34E99 None of the above but in this section ( 0 Dok.)
• 34F05 Equations and systems with randomness, See also {34K50, 60H10, 93E03} ( 0 Dok.)
• 34Gxx Differential equations in abstract spaces, See also {58D25} ( 0 Dok. )
• 34G10 Linear equations, See also {47Axx, 47Bxx, 47D06, 47D09} ( 0 Dok.)
• 34G20 Nonlinear equations, See also {47Hxx} ( 0 Dok.)
• 34G99 None of the above but in this section ( 0 Dok.)
• 34H05 Control problems, See also {49J25, 49K25, 93C15} ( 0 Dok.)
• 34Kxx Functional-differential and differential-difference equations with or without deviating arguments ( 0 Dok. )
• 34K05 General theory ( 0 Dok.)
• 34K10 Boundary value problems ( 0 Dok.)
• 34K15 Qualitative theory ( 0 Dok.)
• 34K20 Stability theory ( 0 Dok.)
• 34K25 Asymptotic theory ( 0 Dok.)
• 34K30 Equations in abstract spaces, See also {34Gxx} ( 0 Dok.)
• 34K35 Control problems, See also {49J25, 49K25, 93C15} ( 0 Dok.)
• 34K40 Neutral equations ( 0 Dok.)
• 34K50 Stochastic delay equations, See also {34F05, 60Hxx} ( 0 Dok.)
• 34K99 None of the above but in this section ( 0 Dok.)
• 34Lxx Ordinary differential operators, See also {47E05} ( 0 Dok. )
• 34L05 General spectral theory ( 0 Dok.)
• 34L10 Eigenfunction expansions, completeness of eigenfunctions ( 0 Dok.)
• 34L15 Estimation of eigenvalues, upper and lower bounds ( 0 Dok.)
• 34L20 Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions ( 0 Dok.)
• 34L25 Scattering theory ( 0 Dok.)
• 34L30 Nonlinear ordinary differential operators ( 0 Dok.)
• 34L40 Particular operators (Dirac, one-dimensional Schrodinger, etc.) ( 0 Dok.)
• 34L99 None of the above but in this section ( 0 Dok.)