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1

Schaaf, Renate. Globalsolution branches of two point boundary value problems. Springer-Verlag, 1990.

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2

Keller, Herbert Bishop. Numerical methods for two-point boundary-value problems. Dover Publications, 1992.

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3

Andres, Jan, and Lech Górniewicz. Topological Fixed Point Principles for Boundary Value Problems. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0407-6.

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4

Coster, Colette De. Two-point boundary value problems: Lower and upper solutions. Elsevier, 2006.

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5

Patrick, Habets, ed. Two-point boundary value problems: Lower and upper solutions. Elsevier, 2006.

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6

Coster, Colette De. Two-point boundary value problems: Lower and upper solutions. Elsevier, 2006.

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7

Global solution branches of two point boundary value problems. Springer-Verlag, 1990.

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8

Schaaf, Renate. Global Solution Branches of Two Point Boundary Value Problems. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0098346.

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9

G, Mazʹi͡a︡ V., and Rossmann J. 1954-, eds. Elliptic boundary value problems in domains with point singularities. American Mathematical Society, 1997.

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10

Socrates, Papageorgiou Nikolaos, ed. Nonsmooth critical point theory and nonlinear boundary value problems. CRC Press, 2005.

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11

Ying, Zhu. Quartic-spline collocation methods for fourth-order two-point boundary value problems. National Library of Canada, 2001.

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12

Schilling, Klaus. Simpliziale Algorithmen zur Berechnung von Fixpunkten mengenwertiger Operatoren. WVT Wissenschaftlicher Verlag, 1986.

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13

L, Fox. The numerical solution of two-point boundary problems in ordinary differential equations. Dover Publications, 1990.

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14

Pelant, Jaroslav. Boundary value conditions for Euler equations for three-dimensional flow. Information Centre for Aeronautics, 1998.

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15

Johnny, Henderson, and Ouahab Abdelghani, eds. Impulsive differential inclusions: A fixed point approach. Walter de Gruyter GmbH & Co., KG, 2013.

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16

LeNeveu, D. M. Radionuclide response functions for the convection-dispersion equation from a point source along the axis of nested cylindrical media. Whiteshell Laboratories, 1996.

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17

Elves Alves de B. e. Silva. Linking theorems and applications to semilinear elliptic problems at resonance. Universidade Federal de Pernambuco, Centro de Ciências Exatas e da Natureza, Departamento de Matemática, 1989.

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18

Ri︠a︡benʹkiĭ, V. S. Long-time numerical integration of the three-dimensional wave equation in the vicinity of a moving source. National Aeronautics and Space Administration, Langley Research Center, 1999.

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19

Linking methods in critical point theory. Birkhauser, 1999.

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20

Papamichael, N. A class of cubic and quintic spline modified collocation methods for the solution of two-point boundary value problems. Brunel University, Department of Mathematics and Statistics, 1987.

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21

Soares, Maria Joana. A posteriori corrections for cubic and quintic interpolating splines with applications to the solution of two-point boundary value problems. Brunel University, 1986.

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22

Pelant, Jaroslav. Boundary value conditions by preference of total temperature at the inlet of region for Navier-Stokes equations for three-dimensional flow. Information Centre for Aeronautics, 1999.

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23

1956-, Dos̆lá Zuzana, and Graef John R. 1942-, eds. The nonlinear limit-point/limit-circle problem. Birkhäuser, 2003.

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24

I, Plotnikov Pavel, ed. Small divisor problem in the theory of three-dimensional water gravity waves. American Mathematical Society, 2009.

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25

Lech, Górniewicz, and Ouahab Abdelghani, eds. Solution sets for differential equations and inclusions. De Gruyter, 2013.

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26

Scott, James R. Compressible flows with periodic vortical disturbances around lifting airfoils. Lewis Research Center, 1991.

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27

Yuan, S. P. A near-wall Reynolds-stress closure without wall normals. National Aeronautics and Space Administration, 1997.

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28

Singh, K. P. 3-D unstructured method for flows past bodies in 6-DOF relative motion: Preprint from proceedings of 6th International Symposium of Computational Fluid Dynamics, Japan Society of Computational Fluid Dynamics, September 4-8, 1995, Lake Tahoe, Nevada. National Aeronautics and Space Administration, 1995.

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29

Keller, Herbert B. Numerical Methods for Two-Point Boundary-Value Problems. Dover Publications, Incorporated, 2019.

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30

Andres, J., and Lech Górniewicz. Topological Fixed Point Principles for Boundary Value Problems. Springer, 2014.

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31

Topological Fixed Point Principles For Boundary Value Problems. Springer, 2011.

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32

Norris, Gordon F. Spectral integration and the numerical solution of two-point boundary value problems. 1999.

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33

Gasinski, Leszek, and Nikolaos Papageorgiou. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems. Chapman and Hall/CRC, 2004. http://dx.doi.org/10.1201/9781420035032.

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34

Two-Point Boundary Value Problems: Lower and Upper Solutions. Elsevier, 2006. http://dx.doi.org/10.1016/s0076-5392(06)x8055-4.

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35

Andres, J., and Lech Górniewicz. Topological Fixed Point Principles for Boundary Value Problems (Topological Fixed Point Theory and Its Applications). Springer, 2003.

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36

Keller, Herbert B. Numerical Solution of Two-Point Boundary Value Problems (CBMS-NSF Regional Conference Series in Applied Mathematics) (CBMS-NSF Regional Conference Series in Applied Mathematics). Society for Industrial Mathematics, 1987.

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37

Coster, C. De, and P. Habets. Two-Point Boundary Value Problems: Lower and Upper Solutions, Volume 205 (Mathematics in Science and Engineering). Elsevier Science, 2006.

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38

1946-, Fitzpatrick Patrick, Furi M, Zecca P, and Centro internazionale matematico estivo, eds. Topological methods for ordinary differential equations: Lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.), held in Montecatini Terme, Italy, June 24-July 2, 1991. Springer-Verlag, 1993.

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39

Furi, M., and P. Fitzpatrick. Topological Methods for Ordinary Differential Equations: Lectures Given at the 1st Session of the Centro Internazional Matematico Estivo (Lecture Notes in Mathematics). Springer, 1993.

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40

1966-, Capogna Luca, and Lanzani Loredana 1965-, eds. Harmonic analysis and boundary value problems: Selected papers from the 25th University of Arkansas spring lecture series, Recent progress in the study of harmonic measure from a geometric and analytic point of view, March 2-4, 2000, Fayetteville, Arkansas. American Mathematical Society, 2001.

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41

Gasinski, Leszek, and Nikolaos S. Papageorgiou. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems (Series in Mathematical Analysis and Applications, V. 8.). Chapman & Hall/CRC, 2004.

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42

On a class of unsteady three-dimensional Navier Stokes solutions relevant to rotating disk flows: Threshold amplitudes and finite time singularities. National Aeronautics and Space Administration, Langley Research Center, Institute for Computer Applications in Science and Engineering, 1990.

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43

Linking Methods in Critical Point Theory. Birkhäuser, 2012.

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44

A, Pennline James, and NASA Glenn Research Center, eds. Improving the accuracy of quadrature method solutions of Fredholm integral equations that arise from nonlinear two-point boundary value problems. National Aeronautics and Space Administration, Glenn Research Center, 1999.

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45

Vortex perturbation dynamics. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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46

Bartusek, Miroslav, Zuzana Doslá, and John R. Graef. The Nonlinear Limit-Point/Limit-Circle Problem. Birkhäuser Boston, 2003.

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47

Cheng, Russell. Non-Standard Problems: Some Examples. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198505044.003.0002.

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This chapter provides motivation for the rest of the book by giving a selection of simple examples showing how non-standard behaviour can occur. The well-known maximum likelihood estimator is used throughout this book to estimate an unknown vector of parameters. Its behaviour is standard if the log-likelihood is a concave quadratic function with the maximum in the neighbourhood of the true parameter value, but is otherwise non-standard. Examples of non-standard situations given in this chapter include the true parameter value not being an internal point of the parameter space, but being on a fixed boundary that may not even be finite, or where the mathematical form of the log-likelihood is different with non-estimable indeterminate parameters, or where the true model is an embedded model. Other examples given include where the log-likelihood is unbounded at a finite parameter point, is discontinuous, or is no longer quadratic.
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48

C, So Ronald M., and United States. National Aeronautics and Space Administration., eds. A near-wall Reynolds-stress closure without wall normals: Final report ... under grant number NAG-1-1772. College of Engineering and Applied Sciences, Arizona State University, 1997.

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49

C, So Ronald M., and United States. National Aeronautics and Space Administration., eds. A near-wall Reynolds-stress closure without wall normals: Under grant NAG1-1772. National Aeronautics and Space Administration, 1997.

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50

C, So Ronald M., and United States. National Aeronautics and Space Administration., eds. A near-wall Reynolds-stress closure without wall normals: Final report ... under grant number NAG-1-1772. College of Engineering and Applied Sciences, Arizona State University, 1997.

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