Allan Edelson

Professor of Mathematics, University of California, Davis

Tel: (530) 752-3655, 752-0827 Fax: (530) 752-6635

To the U.C. Davis Department of Mathematics

Select Publications

A.L. Edelson (1997) "The structure of the set of solutions to semilinear equations at a critical exponent", Contemporary Mathematics, 208 , 133-149. Tex Source Post Script

A.L. Edelson and C.A. Stuart (1995) " The Principle Branch of Solutions of a Non Linear Eigenvalue Problem on Rn", Journal of Differential Equations, 124, (2), 279-301. Tex Source Post Script

Allan L. Edelson and Adolfo J. Rumbos (1993) "Linear and Semilinear Eigenvalue Problems in Rn", Communication in Partial Differential Equations, 18, (1&2), 215-240.

Allan L. Edelson (1989), "Asymptotic Properties of Semilinear Equations" Canadian Mathematical Bulletin, 31, (4), 34-46.

D. Barnette and A.L. Edelson (1988) "All 2-Manifolds Have Finitely Many Minimal Triangulations" Israel Journal of Mathematics, 67:1.

Class Notes

Ordinary Differential Equations: Mathematics 22b

Introduction

Homework

Sample Problems for Exam #1

Sample Problems for Exam #2

Final Exam Topics

Partial Differential Equations: Mathematics 118b

Partial Differential Equations: Mathematics 118c

Final Exam Information

Functional Analysis: Mathematics 202

Introduction

Problems #1

Problems #2

Administrative Appointments

1988-91 Assistant Vice Chancellor, Academic Affairs

1991-92 Acting Vice Provost, Faculty Relations

Visiting Positions

Universite d'Orleans, France. Professeur Invitee (1997)

Ecole Polytechnique Federale de Lausanne, Switzerland. Professeur Invitee (1993)

Istituto di Matematica Applicata, Universita di Firenze, Italy. National Research Council Visiting Professor (1992)

Istituto di Matematica Applicata, Universita di Firenze, Italy. National Research Council Visiting Professor (1985)

Istituto di Matematica "U. Dini", Firenze, Italy. National Research Council Visiting Professor (1980-81)

Universite de Louvin la Neuve, Belgium. Professeur Invitee (1981)

Publications

Global solution branches for semilinear equations in Rn (with M. Furi), 1996. Journal of Nonlinear Analysis, Vol. 26, No. 1. Post Script .

The Principle Branch of Solutions of a Non Linear Eigenvalue Problem on Rn (with Charles Stuart), 1996. Journal of Differential Equations, 124, (2), 279-301. Tex Source Post Script

Bifurcation of asymptotically linear equations, . Tex Source(1995)

Bifurcation properties of semilinear elliptic equations in Rn, (with A. Rumbos), 1994. Differential and Integral equations, 7(2) 399-410.

Connected Branches of semilinear elliptic equations" (with A. Rumbos). Proceedings of the Western European Conference on Differential Equations, "Equadiff '91", Barcelona, Spain, August 1991.

A. Edelson and A. Rumbos (1991) "Bifurcation Properties of Semilinear Elliptic equations in Rn", Differential and Integral Equations, 7:2, 399-410.

Bifurcation of asymptotically linear equations, (1995). Tex Source

Bifurcation properties of semilinear elliptic equations, (with A. Rumbos), 1994. Differential and Integral equations, 7(2) 399-410.

Asymptotically linear elliptic equations, 1994. Rendiconti del Seminario Matematica e Fisico di Milano 18(1&2):215-240.

Connected Branches of semilinear elliptic equations (with A. Rumbos), Proceedings of the Western European Conference on Differential Equations, "Equadiff '91", Barcelona, Spain, August, 1991.

Eigenvalues of linear and asymptotically linear equations" (with A. Rumbos),

Asymptotic behaviour of higher order semilinear equations" (with R. Vakilian). Journal of Nonlinear Analysis: Theory, Methods and Applications, Vol. 15, No.(1), 17-26.

Bounded entire solutions of of higher order semilinear elliptic equations" (with R. Vakilian), "Equadiff '87", Xanthi, Greece, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker.

All 2-manifolds have finitely many minimal triangulations, (with D. Barnette), 1989. Israel Journal of Mathematics, 67:123-128.

Asymptotic properties of semilinear equations, 1989. Canadian Mathematical Bulletin, 32(1) 34-46.

Entire solutions of singular elliptic equations, 1989. Journal of Mathematical Analysis and Applications, 139(2):523-532.

Asymptotic properties of semilinear equations, 1988. Canadian Mathematical Bulletin, 31(4) .

Positive, entire solutions of semilinear elliptic equations. Proceedings of the International Conference on Theory and Applications of Differential Equations, Columbus, Ohio, March. (1988).

All orientable 2-manifolds have finitely many minimal triangulations, (with David Barnette), Israel Journal of Mathematics, 62 (1) , 90-98. (1988).

Semilinear elliptic equations in Rn, 1987. Nonlinear Analysis and Applications, University of Texas, Arlington, Texas.

Focal points of nonlinear equations - A Dynamical Analysis, (with Panos Palamides), Rocky Mountain Journal of Mathematics, 17 (1), (1987).

Increasing solutions of (rxn)n = xf(t,x)." (with Jerry D. Schuur). Journal of Nonlinear Analysis, JNA-TMA, 10 (2) :195-205, (1986).

Asymptotic and strong asymptotic equivalence to polynomials for solutions of nonlinear equations, (with Jerry D. Schuur), Proceedings of the Western European Conference on Differential Equations, "Equadiff '82", Wurzburg, West Germany, (1983).

A note on the existence of global components of solutions for nonlinear eigenvalue problems depending on infinite dimensional parameters." (with Maria Patrizia Pera). Journal of Nonlinear Analysis JNA-TMA,i 6 (11) :1185-1191, (1983).

Asymptotic behaviour of nonoscillatory equations." (with E. Perri), 1983. Canadian Journal of Mathematics, XXV (3).

Nonoscillatory solutions of (rxn)n + f(t,x) = 0." (with Jerry D. Schuur), Pacific Journal of Mathematics, 109 (2), (1983).

The asymptotic form of nonoscillatory solutions to fourth order equations, Proceedings of the International Conference on Nonlinear Phenomena in Mathematical Sciences, Arlington, Texas, 343-350, (1981).

Conjugate and focal points of nonlinear equations, Journal of Nonlinear Analysis JNA-TMA, 5 (1) :105-110.(1981).

Nonlinear relationships between oscillation and asymptotic behaviour, (with Kurt Kreith), Pacific Journal of Mathematics, 102:29-39, (1982).

Positive solutions of the equation (m(t)x')' + A(t)x = 0, S.I.A.M. Journal of Mathematical Analysis, 10:789-793.(1979).

Fourth order nonselfadjoint differential equations with clamped-free boundary conditions, (with S.S. Cheng), Annali di Matematica Pura et Applicata, 118:131-142. (1978).

Variational systems disconjugacy criteria for nonselfadjoint differential equations, (with K. Kreith). Quaestiones Mathematicae, 2 :453-460, (1978).

Topological classification in early childhood, (with K.S.Huie), Multivariate Experimental Clinical Research 3:147-156, (1977).

On systems disconjugacy and a question of Barrett, (with K. Kreith), Proceedings of the Royal Society of Edinburgh, 78A:219-223, (1978).

Upper bounds for conjugate points of nonselfadjoint fourth order differential equations, (with K. Kreith). Accademia Nazionale dei Lincei, 58:686-695, (1975).

The converse to a theorem of Conner and Floyd, Pacific Journal of Mathematics, 57:109-112, (1975).

Fixed point sets of conjugations, Illinois Journal of Mathematics, 18:491-494, (1974).

Conjugations of stably almost complex manifolds, Pacific Journal of Mathematics, 53:373-377, (1974).

Real vector bundles and spaces with free involutions, Transactions of the American Mathematical Society, 157:179-188,(1971).

Real line bundles on spheres, Proceedings of the American Mathematical Society, 27:579-583, (1971).

Bifurcation of asymptotically linear equations, (1995). Tex Source

Bifurcation properties of semilinear elliptic equations, (with A. Rumbos), Differential and Integral equations, 7(2) 399-410 (1994)

Connected Branches of semilinear elliptic equations" (with A. Rumbos), Proceedings of the Western European Conference on Differential Equations, "Equadiff '91", Barcelona, Spain, August, 1991.

Eigenvalues of linear and asymptotically linear equations" (with A. Rumbos),

Asymptotic behaviour of higher order semilinear equations" (with R. Vakilian). Journal of Nonlinear Analysis: Theory, Methods and Applications, 15(1)

Bounded entire solutions of higher order semilinear elliptic equations" (with R. Vakilian), "Equadiff '87", Xanthi, Greece, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker.

All 2-manifolds have finitely many minimal triangulations, (with D. Barnette), Israel Journal of Mathematics, 67:1

Asymptotic properties of semilinear equations. Canadian Mathematical Bulletin, 32(1) 34-46 (1989).

Entire solutions of singular elliptic equations, Journal of Mathematical Analysis and Applications, 139(2):523-532.

Asymptotic properties of semilinear equations. Canadian Mathematical Bulletin, 31 (4) (1988).

Positive, entire solutions of semilinear elliptic equations. Proceedings of the International Conference on Theory and Applications of Differential Equations , Columbus, Ohio, March, 1988.

All orientable 2-manifolds have finitely many minimal triangulations, (with David Barnette), Israel Journal of Mathematics, 62 (1) , 90-98. (1988).

Semilinear elliptic equations in Rn, Nonlinear Analysis and Applications, University of Texas, Arlington, Texas. (1987).

Focal points of nonlinear equations - A Dynamical Analysis, (with Panos Palamides), Rocky Mountain Journal of Mathematics, 17 (1), (1987).

Increasing solutions of (rxn)n = xf(t,x)." (with Jerry D. Schuur). Journal of Nonlinear Analysis, JNA-TMA, 10 (2) :195-205, (1986).

Asymptotic behaviour of nonoscillatory equations." (with E. Perri), Canadian Journal of Mathematics, XXV (3), (1983).

Nonoscillatory solutions of (rxn)n + f(t,x) = 0." (with Jerry D. Schuur), Pacific Journal of Mathematics, 109 (2), (1983).

The asymptotic form of nonoscillatory solutions to fourth order equations, Proceedings of the International Conference on Nonlinear Phenomena in Mathematical Sciences, Arlington, Texas, 343-350, (1981).