Difference Equations

1. R. P. Agarwal: "Difference Equations and Inequalities. Theory, Methods, and Applications", 2nd Ed. Marcel Dekker, New York, 2000. [NIU:no]

2. Calvin D. Ahlbrandt & Allan C. Peterson: "Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations". Kluwer Academic Publishers, Boston, 1996. QA614.83.A43[NIU]

3. V. Lakshmikantham & D. Trigiante: "Theory of Difference Equations: Numerical Methods and Applications". Academic Press, Boston, 1988, QA431.L28[NIU]; 2nd edition, Marcel Dekker, New York, 2002, QA431.L28[NIU:no]

4. Walter G. Kelley & Allan C. Peterson: "Difference Equations: An Introduction with Applications". Academic Press, New York, 1991. QA431.K44[NIU]

1. Martin Bohner & Allan Peterson: "Dynamic Equations on Time Scales: An Introduction with Applications". Birkhauser, Boston, 2001. QA614.8.B645[NIU]

2. Martin Bohner & Allan Peterson, editors: "Advances in Dynamic Equations on Time Scales". Birkhauser, Boston, 2003. QA614.8.A383[NIU]

3. V. Lakshmikantham, S. Sivasundaram & B. Kaymakcalan: "Dynamic Systems on Measure Chains". Kluwer Academic Publishers, Boston, 1996.

1. Paul R. Halmos: "A Hilbert Space Problem Book". 2nd edition. Graduate Texts in Math. 19. Springer, New York, 1982. QA322.4.H34[NIU]

2. Robert E. Megginson: "An Introduction to Banach Space Theory". Graduate Texts in Math. 183. Springer, New York, 1998. QA322.2.M44

3. Michael Reed & Barry Simon: "Methods of Modern Mathematical Physics, I. Functional Analysis". Rev. & enl. ed. Academic Press, New York, 1980. QC20.7.F84R43[NIU]

4. Michael Reed & Barry Simon: "Methods of Modern Mathematical Physics, II. Fourier Analysis, Self-Adjointness". Academic Press, New York, 1972. QC20.R37[NIU]

5. Walter Rudin: "Functional Analysis". McGraw-Hill, New York, 1973. QA320.R83[NIU]

6. Angus Ellis Taylor & David C. Lay: "Introduction to Functional Analysis", 2nd edition. Wiley, New York, 1980. QA320.T3

7. Hans Triebel: "Hohere Analysis". Deutscher Verlag der Wissenschaften, Berlin, 1972. QA374.T72[NIU]

1. N. I. Akhiezer & I. M. Glazman: "Theory of Linear Operators in Hilbert Space". Vol. I. Ungar, New York, 1961. QA691.A383[NIU]

2. N. I. Akhiezer & I. M. Glazman: "Theory of Linear Operators in Hilbert Space". Vol. II. Ungar, New York, 1963. QA691.A383[NIU]

3. N. Dunford & J. Schwartz: "Linear Operators. Part I. General Theory". John Wiley & Sons, New York, 1988. QA329.2.D85[NIU]

4. N. Dunford & J. Schwartz: "Linear Operators. Part II. Spectral Theory. Self-Adjoint Operators in Hilbert Space". John Wiley & Sons, New York, 1963. QA329.2.D85[NIU]

5. N. Dunford & J. Schwartz: "Linear Operators. Part III. Spectral Operators". John Wiley & Sons, New York, 1988. QA329.2.D85[NIU]

6. S. Goldberg: "Unbounded Linear Operators: Theory and Applications". McGraw-Hill, New York, 1966. QA251.G6[NIU]

7. T. Kato: "Perturbation Theory for Linear Operators". Springer-Verlag, New York, 1976. QA320.K33[NIU]

8. M. A. Naimark: "Linear Differential Operators, Part II. Linear Differential Operators in Hilbert Space". Ungar Publ. Co., New York, 1968.

9. J. Weidmann: "Linear Operators in Hilbert Spaces". Graduate Texts in Math. 68. Springer-Verlag, New York, 1980. QA329.2.W4413[NIU]

10. Gerald Teschl: "Jacobi Operators and Completely Integrable Nonlinear Lattices". Math. Surveys & Monographs 72. American Mathematical Society, 2000. [NIU:no]

1. V. I. Arnold: "Ordinary Differential Equations". QA372.A713

2. Earl A. Coddington & Norman Levinson: "Theory of Ordinary Differential Equations". McGraw-Hill, New York, 1955 (1984 reprint). QA372.C6

3. Philip Hartman: "Ordinary Differential Equations". QA372.H33

4. Einar Hille: "Lectures on Ordinary Differential Equations". Addison-Wesley Pub. Co., Reading, Mass., 1968. QA372.H55[NIU]

5. Einar Hille: "Ordinary Differential Equations in the Complex Domain". John Wiley & Sons, New York, 1976. QA372.H56[NIU]

6. Edward L. Ince: "Ordinary Differential Equations". QA372.I6

7. William T. Reid: "Sturmian Theory for Ordinary Differential Equations". Springer-Verlag, New York, 1980. QA1.A647v31[NIU]

1. Werner Kratz: "Quadratic Functionals in Variational Analysis and Control Theory". Akademie Verlag, Berlin, 1995. [NIU:no]

1. Milton Abramowitz & Irene A. Stegun, editors: "Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables". Dover, New York, 1972. QA331.H197[NIU]

2. N. I. Akhiezer: "Elements of the Theory of Elliptic Functions". Translated from Russian by H. McFaden; translation edited by B. Silver. American Math. Soc., Providence, RI., 1990. QA343.A3813[NIU]

3. Eric Harold Neville: "Jacobian elliptic functions". 2nd ed. Clarendon Press, Oxford, 1951. [NIU:no]

1. Xuerong Mao & Chenggui Yuan: "Stochastic Differential Equations with Markovian Switching" Imperial College Press, London, 2006. QA274.23.M363[NIU]