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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 34 | Ordinary differential equations | ||
| 34-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 34-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 34-02 | Research exposition (monographs, survey articles) | ||
| 34-03 | Historical | ||
| 34-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 34-06 | Proceedings, conferences, collections, etc. | ||
| 34-99 | Ordinary differential equations (not classified at a more specific level) | ||
| 34A | General theory | ||
| 34A05 | Explicit solutions and reductions | ||
| 34A09 | Implicit equations, differential-algebraic equations [See also 65L80] | ||
| 34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions | ||
| 34A25 | Analytical theory: series, transformations, transforms, operational calculus, etc. [See also 44-XX] | ||
| 34A26 | Geometric methods in differential equations | ||
| 34A30 | Linear equations and systems, general | ||
| 34A34 | Nonlinear equations and systems, general | ||
| 34A35 | Differential equations of infinite order | ||
| 34A36 | Discontinuous equations | ||
| 34A37 | Differential equations with impulses | ||
| 34A40 | Differential inequalities [See also 26D20] | ||
| 34A45 | Theoretical approximation of solutions {For numerical analysis, see 65Lxx} | ||
| 34A55 | Inverse problems | ||
| 34A60 | Differential inclusions [See also 49J24, 49K24] | ||
| 34A99 | None of the above, but in this section | ||
| 34B | Boundary value problems {For ordinary differential operators, see 34Lxx} | ||
| 34B05 | Linear boundary value problems | ||
| 34B07 | Linear boundary value problems with nonlinear dependence on the spectral parameter | ||
| 34B08 | Multi-parameter boundary value problems | ||
| 34B09 | Boundary value problems with an indefinite weight | ||
| 34B10 | Multipoint boundary value problems | ||
| 34B15 | Nonlinear boundary value problems | ||
| 34B16 | Singular nonlinear boundary value problems | ||
| 34B18 | Positive solutions of nonlinear boundary value problems | ||
| 34B20 | Weyl theory and its generalizations | ||
| 34B24 | Sturm-Liouville theory [See also 34Lxx] | ||
| 34B27 | Green functions | ||
| 34B30 | Special equations (Mathieu, Hill, Bessel, etc.) | ||
| 34B37 | Boundary value problems with impulses | ||
| 34B40 | Boundary value problems on infinite intervals | ||
| 34B45 | Boundary value problems on graphs and networks | ||
| 34B60 | Applications | ||
| 34B99 | None of the above, but in this section | ||
| 34C | Qualitative theory [See also 37-XX] | ||
| 34C05 | Location of integral curves, singular points, limit cycles | ||
| 34C07 | Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) | ||
| 34C08 | Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) | ||
| 34C10 | Oscillation theory, zeros, disconjugacy and comparison theory | ||
| 34C11 | Growth, boundedness, comparison of solutions | ||
| 34C12 | Monotone systems | ||
| 34C14 | Symmetries, invariants | ||
| 34C15 | Nonlinear oscillations, coupled oscillators | ||
| 34C20 | Transformation and reduction of equations and systems, normal forms | ||
| 34C23 | Bifurcation [See mainly 37Gxx] | ||
| 34C25 | Periodic solutions | ||
| 34C26 | Relaxation oscillations | ||
| 34C27 | Almost periodic solutions | ||
| 34C28 | Complex behavior, chaotic systems [See mainly 37Dxx] | ||
| 34C29 | Averaging method | ||
| 34C30 | Manifolds of solutions | ||
| 34C37 | Homoclinic and heteroclinic solutions | ||
| 34C40 | Equations and systems on manifolds | ||
| 34C41 | Equivalence, asymptotic equivalence | ||
| 34C45 | Method of integral manifolds | ||
| 34C55 | Hysteresis | ||
| 34C60 | Applications | ||
| 34C99 | None of the above, but in this section | ||
| 34D | Stability theory [See also 37C75, 93Dxx] | ||
| 34D05 | Asymptotic properties | ||
| 34D08 | Characteristic and Lyapunov exponents | ||
| 34D09 | Dichotomy, trichotomy | ||
| 34D10 | Perturbations | ||
| 34D15 | Singular perturbations | ||
| 34D20 | Lyapunov stability | ||
| 34D23 | Global stability | ||
| 34D30 | Structural stability and analogous concepts [See also 37C20] | ||
| 34D35 | Stability of manifolds of solutions | ||
| 34D40 | Ultimate boundedness | ||
| 34D45 | Attractors [See also 37C70, 37D45] | ||
| 34D99 | None of the above, but in this section | ||
| 34E | Asymptotic theory | ||
| 34E05 | Asymptotic expansions | ||
| 34E10 | Perturbations, asymptotics | ||
| 34E13 | Multiple scale methods | ||
| 34E15 | Singular perturbations, general theory | ||
| 34E18 | Methods of nonstandard analysis | ||
| 34E20 | Singular perturbations, turning point theory, WKB methods | ||
| 34E99 | None of the above, but in this section | ||
| 34F05 | Equations and systems with randomness [See also 34K50, 60H10, 93E03] | ||
| 34G | Differential equations in abstract spaces [See also 34Lxx, 37Kxx, 47Dxx,47Hxx,47Jxx,58Jxx] | ||
| 34G10 | Linear equations [See also 47D06, 47D09] | ||
| 34G20 | Nonlinear equations [See also 47Hxx, 47Jxx] | ||
| 34G25 | Evolution inclusions | ||
| 34G99 | None of the above, but in this section | ||
| 34H05 | Control problems [See also 49J25, 49K25, 93C15] | ||
| 34K | Functional-differential and differential-difference equations [See also 37-XX] | ||
| 34K05 | General theory | ||
| 34K06 | Linear functional-differential equations | ||
| 34K07 | Theoretical approximation of solutions | ||
| 34K10 | Boundary value problems | ||
| 34K11 | Oscillation theory | ||
| 34K12 | Growth, boundedness, comparison of solutions | ||
| 34K13 | Periodic solutions | ||
| 34K14 | Almost periodic solutions | ||
| 34K17 | Transformation and reduction of equations and systems, normal forms | ||
| 34K18 | Bifurcation theory | ||
| 34K19 | Invariant manifolds | ||
| 34K20 | Stability theory | ||
| 34K23 | Complex (chaotic) behavior of solutions | ||
| 34K25 | Asymptotic theory | ||
| 34K26 | Singular perturbations | ||
| 34K28 | Numerical approximation of solutions | ||
| 34K29 | Inverse problems | ||
| 34K30 | Equations in abstract spaces [See also 34Gxx, 47Dxx, 47Jxx] | ||
| 34K35 | Control problems [See also 49J25, 49K25, 93C15] | ||
| 34K40 | Neutral equations | ||
| 34K45 | Equations with impulses | ||
| 34K50 | Stochastic delay equations [See also 34F05, 60Hxx] | ||
| 34K60 | Applications | ||
| 34K99 | None of the above, but in this section | ||
| 34L | Ordinary differential operators [See also 47E05] | ||
| 34L05 | General spectral theory | ||
| 34L10 | Eigenfunction expansions, completeness of eigenfunctions | ||
| 34L15 | Estimation of eigenvalues, upper and lower bounds | ||
| 34L16 | Numerical approximation of eigenvalues and of other parts of the spectrum | ||
| 34L20 | Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions | ||
| 34L25 | Scattering theory | ||
| 34L30 | Nonlinear ordinary differential operators | ||
| 34L40 | Particular operators (Dirac, one-dimensional Schrödinger, etc.) | ||
| 34L99 | None of the above, but in this section | ||
| 34M | Differential equations in the complex domain [See also 30Dxx, 32G34] | ||
| 34M05 | Entire and meromorphic solutions | ||
| 34M10 | Oscillation, growth of solutions | ||
| 34M15 | Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) | ||
| 34M20 | Nonanalytic aspects | ||
| 34M25 | Formal solutions, transform techniques | ||
| 34M30 | Asymptotics, summation methods | ||
| 34M35 | Singularities, monodromy, local behavior of solutions, normal forms | ||
| 34M37 | Resurgence phenomena | ||
| 34M40 | Stokes phenomena and connection problems (linear and nonlinear) | ||
| 34M45 | Differential equations on complex manifolds | ||
| 34M50 | Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) | ||
| 34M55 | Painlevé and other special equations; classification, hierarchies; isomonodromic deformations | ||
| 34M60 | Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent) [See also 34E20] | ||
| 34M99 | None of the above, but in this section | ||
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