LEADER 07738nam 22018495 450 001 9910154750203321 005 20190708092533.0 010 $a1-4008-8217-6 024 7 $a10.1515/9781400882175 035 $a(CKB)3710000000622810 035 $a(MiAaPQ)EBC4738678 035 $a(DE-B1597)467987 035 $a(OCoLC)954124134 035 $a(OCoLC)999355040 035 $a(DE-B1597)9781400882175 035 $a(EXLCZ)993710000000622810 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aContributions to the Theory of Nonlinear Oscillations (AM-36), Volume III /$fSolomon Lefschetz 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$dİ1956 215 $a1 online resource (300 pages) $cillustrations 225 0 $aAnnals of Mathematics Studies ;$v341 311 $a0-691-07911-0 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tPREFACE -- $tCONTENTS -- $tI. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS / $rSeifert, George -- $tII. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS / $rMarkus, L. -- $tIII. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS / $rPinney, Edmund -- $tIV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER / $rHaas, Violet B. -- $tV. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION / $rGomory, Ralph E. -- $tVI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE / $rBarocio, Samuel -- $tVII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION / $rHaas, Felix -- $tVIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS / $rHufford, George -- $tIX. A FIXED POINT THEOREM / $rKyner, Walter T. -- $tX. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS / $rDiliberto, S. P. / Hufford, G. -- $tXI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS / $rDiliberto, S. P. / Marcus, M. D. -- $tXII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM / $rMarcus, Marvin D. -- $tXIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM) / $rDiliberto, Stephen P. -- $tXIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM / $rMarcus, Marvin D. -- $tXV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS / $rDiliberto, Stephen P. -- $tXVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE / $rKoosis, Paul -- $tBackmatter 330 $aThe description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III, will be forthcoming. 410 0$aAnnals of mathematics studies ;$vno. 36. 606 $aOscillations 610 $aAddition. 610 $aAlmost periodic function. 610 $aAnalytic function. 610 $aAnalytic manifold. 610 $aAsymptote. 610 $aAsymptotic analysis. 610 $aBanach space. 610 $aBasis (linear algebra). 610 $aBetti number. 610 $aBig O notation. 610 $aBoundary (topology). 610 $aBoundary value problem. 610 $aBoundedness. 610 $aCalculation. 610 $aCartesian coordinate system. 610 $aCharacteristic equation. 610 $aCharacteristic exponent. 610 $aCoefficient matrix. 610 $aCoefficient. 610 $aCombination. 610 $aComplex number. 610 $aComplex space. 610 $aConnected space. 610 $aContinuous function. 610 $aCounterexample. 610 $aCurve. 610 $aDegeneracy (mathematics). 610 $aDegrees of freedom (statistics). 610 $aDerivative. 610 $aDeterminant. 610 $aDifferentiable function. 610 $aDifferential equation. 610 $aDissipative system. 610 $aEigenvalues and eigenvectors. 610 $aEquation. 610 $aExistence theorem. 610 $aExistential quantification. 610 $aExterior (topology). 610 $aFirst variation. 610 $aFixed-point theorem. 610 $aFundamental theorem. 610 $aGeometry. 610 $aHalf-space (geometry). 610 $aHomeomorphism. 610 $aHomotopy. 610 $aHyperbolic sector. 610 $aIdentity matrix. 610 $aImaginary number. 610 $aImplicit function. 610 $aInfimum and supremum. 610 $aIntegral curve. 610 $aInterior (topology). 610 $aIntersection (set theory). 610 $aInterval (mathematics). 610 $aInvertible matrix. 610 $aJacobian matrix and determinant. 610 $aJordan curve theorem. 610 $aLimit cycle. 610 $aLimit point. 610 $aLimit set. 610 $aLine at infinity. 610 $aLinear approximation. 610 $aLinear differential equation. 610 $aLinear equation. 610 $aLinear map. 610 $aLipschitz continuity. 610 $aMatrix (mathematics). 610 $aMonotonic function. 610 $aN-vector. 610 $aNonlinear system. 610 $aOrdinary differential equation. 610 $aParameter. 610 $aParametric equation. 610 $aParametrization. 610 $aPartial derivative. 610 $aPeriodic function. 610 $aPhase plane. 610 $aPhase space. 610 $aPoint at infinity. 610 $aPolynomial. 610 $aProjective plane. 610 $aQuantity. 610 $aSaddle point. 610 $aScientific notation. 610 $aSecond derivative. 610 $aSeparatrix (mathematics). 610 $aSign (mathematics). 610 $aSimultaneous equations. 610 $aSingular perturbation. 610 $aSpecial case. 610 $aSubmanifold. 610 $aSummation. 610 $aTangent. 610 $aTaylor series. 610 $aTheorem. 610 $aTheory. 610 $aTopology. 610 $aVector field. 610 $aVelocity. 610 $aZero of a function. 615 0$aOscillations. 676 $a531.3 700 $aLefschetz$b Solomon, $012523 702 $aBarocio$b Samuel, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aDiliberto$b S. P., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aDiliberto$b Stephen P., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aGomory$b Ralph E., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aHaas$b Felix, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aHaas$b Violet B., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aHufford$b G., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aHufford$b George, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aKoosis$b Paul, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aKyner$b Walter T., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aMarcus$b M. D., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aMarcus$b Marvin D., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aMarkus$b L., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aPinney$b Edmund, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aSeifert$b George, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154750203321 996 $aContributions to the Theory of Nonlinear Oscillations (AM-36), Volume III$92788783 997 $aUNINA