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Boundary value problems

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• Differential equations
• Functions of complex variables
• Mathematical physics

• Initial value problems

• Boundary value problems -- Mathematical models

• Boundary conditions (Differential equations)

• Elementary Differential Equations With Boundary Value Problems (free online edition, 2013), by William F. Trench (PDF and LaTeX at trinity.edu)
• Notes on Diffy Qs: Differential Equations for Engineers (online edition, c2013), by Jiří Lebl (illustrated HTML and PDF with commentary at jirka.org)
• Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations With Boundary Value Problems (free online edition, originally published 2000), by William F. Trench (PDF at trinity.edu)
• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)

• Interfaces and Free Boundaries (partial serial archives)

Items below (if any) are from related and broader terms.

• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)

• Elementary Differential Equations (free online edition, 2013), by William F. Trench (PDF and LaTeX at trinity.edu)
• Elementary Differential Equations With Boundary Value Problems (free online edition, 2013), by William F. Trench (PDF and LaTeX at trinity.edu)
• Notes on Diffy Qs: Differential Equations for Engineers (online edition, c2013), by Jiří Lebl (illustrated HTML and PDF with commentary at jirka.org)
• Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations With Boundary Value Problems (free online edition, originally published 2000), by William F. Trench (PDF at trinity.edu)
• The Hopf Bifurcation and Its Applications (1976), by Jerrold E. Marsden and Marjorie McCracken (PDF files at Caltech)
• Linearization via the Lie Derivative (EJDE monograph #2, 2000), by Carmen Charles Chicone and Richard Swanson (PDF with commentary at ams.org)
• Numerical Methods and Modeling for Chemical Engineers (New York et al.: Wiley, c1984), by Mark E. Davis (PDF files at Caltech)
• Differential Equations From the Algebraic Standpoint (American Mathematical Society Colloquium Publications v14; 1932), by Joseph Fels Ritt (page images at HathiTrust)
• Détermination des Invariants Ponctuels de l'Equation Differentielle Ordinaire du Second Ordre y'' = w(x,y,y') (in French, with some German front matter; Leipzig: S. Hirzel, 1896), by Arthur Tresse (page images at HathiTrust)
• Differential Equations (New York: John Wiley and Sons, 1922), by H. B. Phillips (PDF at djm.cc)
• Four Lectures on Mathematics Delivered at Columbia University in 1911, by Jacques Hadamard (page images at Cornell)
• Ordinary Differential Equations: An Elementary Text-Book (London and New York: Macmillan, 1897), by James Morris Page (page images at Cornell)
• A Treatise on Differential Equations, by Andrew Russell Forsyth (page images at Cornell)
• A Treatise on Differential Equations, and on the Calculus of Finite Differences, by J. Hymers (page images at Cornell)
• An Introduction to the Lie Theory of One-Parameter Groups, by Abraham Cohen (page images at Cornell)
• The Logarithmic Potential: Discontinuous Dirichlet and Neumann Problems (American Mathematical Society Colloquium Publications v6; 1927), by Griffith Conrad Evans (page images at HathiTrust)

• Electronic Journal of Differential Equations (1993-) (full serial archives)
• Electronic Journal of Qualitative Theory of Differential Equations (1998-) (full serial archives)

• Examples of Differential Equations, With Rules for Their Solution, by George A. Osborne (page images at Cornell)

• A Treatise on the Integral Calculus and Its Applications With Numerous Examples (1889 edition), by I. Todhunter (page images at Cornell)
• A Course in Interpolation and Numerical Integration for the Mathematical Laboratory, by David Gibb (page images at Cornell)

• Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups, by John Edward Campbell (page images at Cornell)
• Linear Transformations In Hilbert Space and Their Applications To Analysis (American Mathematical Society Colloquium Publications v15; 1932), by Marshall H. Stone (multiple formats at archive.org)

• Singularities of Transition Processes in Dynamical Systems: Qualitative Theory of Critical Delays (EJDE monograph #5, 2004), by A. N. Gorban' (PDF with commentary at ams.org)
• Exploring Discrete Dynamics: The DDLab Manual (Frome, UK: Luniver Press, c2011), by Andrew Wuensche (PDF and page images with commentary in the UK)
• Flavors of Geometry (1997), ed. by Silvio Levy (PDF files with commentary at msri.org)
• The Hopf Bifurcation and Its Applications (1976), by Jerrold E. Marsden and Marjorie McCracken (PDF files at Caltech)
• Jacobi Operators and Completely Integrable Nonlinear Lattices, by Gerald Teschl (PDF and other formats in Austria)

• Lectures on Graded Differential Algebras and Noncommutative Geometry, by Michel DuBois-Violette (PDF at arxiv.org)

• Existence, Multiplicity, Perturbation, and Concentration Results for a Class of Quasi-Linear Elliptic Problems (EJDE monograph #7, 2006), by Marco Squassina (PDF with commentary at ams.org)
• Palais-Smale Approaches to Semilinear Elliptic Equations in Unbounded Domains (EJDE monograph #6, 2004), by Hwai-chiuan Wang (PDF with commentary at ams.org)

• A Treatise on Linear Differential Equations, by Thomas Craig (page images at Cornell)

• Introduction to Nonlinear Differential and Integral Equations (New York: Dover Publications, 1962), by Harold T. Davis (page images at HathiTrust)

• The Hopf Bifurcation and Its Applications (1976), by Jerrold E. Marsden and Marjorie McCracken (PDF files at Caltech)
• Differential Systems (American Mathematical Society Colloquium Publications v21; 1937), by Joseph Miller Thomas (multiple formats at archive.org)
• Hilbert Space Methods for Partial Differential Equations, by R. E. Showalter (PDF files at ams.org)
• Partielle Differentialgleichungen der Physik (2 manuscript volumes in German; ca. 1888), by Felix Klein (page images at HathiTrust)
• Analog Simulation: Solution of Field Problems (New York et al.: McGraw-Hill Book Co., 1958), by Walter J. Karplus (page images at HathiTrust)

• Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (1984), by Peter B. Gilkey (Postscript files at emis.de)

• Periodic Solutions for Evolution Equations (EJDE monograph #3, 2002), by Mihai Bostan (PDF with commentary at ams.org)

• Functional Differential Geometry (Cambridge, MA and London: MIT Press, c2013), by Gerald Jay Sussman and Jack Wisdom, contrib. by Will Farr (at mitpress.mit.edu PDF with commentary at MIT Press and Dropbox)

• Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables (10th printing, with corrections, 1972), ed. by Milton Abramowitz and Irene A. Stegun (page images at sfu.ca)
• Theory of Functions (New York: King's Crown Press, 1946), by Joseph Fels Ritt (page images at HathiTrust)
• Functions of a Complex Variable, by Thomas Scott Fiske (page images at Cornell)
• Functions of a Complex Variable, by E. J. Townsend (page images at Cornell)
• Introduction to a Form of General Analysis (New Haven: Yale University Press, 1910), by Eliakim Hastings Moore, E. J. Wilczynski, and Max Mason (page images at HathiTrust)
• Introduction to the Theory of Analytic Functions, by James Harkness and Frank Morley (page images at Cornell)
• A Treatise on the Theory of Functions, by James Harkness and Frank Morley (frame and JavaScript-dependent page images at Cornell)
• Interpolation and Approximation by Rational Functions in the Complex Domain (American Mathematical Society Colloquium Publications v20, second edition; 1956), by J. L. Walsh (page images at HathiTrust)
• Introduction to Infinitesimal Analysis, by Oswald Veblen and N. J. Lennes (page images at Cornell)
• An Introduction to the Study of the Elements of the Differential and Integral Calculus, by Axel Harnack, trans. by George L. Cathcart (page images at Cornell)
• Sets, Relations, Functions, by Ivo Düntsch and Günther Gediga (PDF with commentary at Brock)
• A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of The Principal Transcendental Functions (second edition; Cambridge, UK: At the University Press, 1915), by E. T. Whittaker and G. N. Watson (multiple formats at archive.org)

More items available under broader and related terms at left.