Nonlinear problems in the physical sciences and biology : proceedings of a Battelle Summer institute, Seattle, July 3-28, 1972 / Ivar Stakgold, Daniel D. Joseph, and David H. Sattinger

Table of Contents: Ivar Stakgold, Daniel Joseph and David Sattinger, Preface (p. iii); Participants (pp. vii-viii); J. F. G. Auchmuty, Lyapunov methods and equations of parabolic type (pp. 1–14); Donald S. Cohen, Multiple solutions of nonlinear partial differential equations (pp. 15–77); Bernard D. Coleman, Fading memory and functional-differential equations (pp. 78–86); Paul C. Fife, Singular perturbation by a quasilinear operator (pp. 87–100); W. M. Greenlee, Remarks on branching from multiple eigenvalues (pp. 101–121); Richard A. Handelsman and W. E. Olmstead, Asymptotic analysis of a class of nonlinear integral equations (pp. 122–129); Daniel D. Joseph, Remarks about bifurcation and stability of quasi-periodic solutions which bifurcate from periodic solutions of the Navier-Stokes equations (pp. 130–158); Oscar E. Lanford, III, Bifurcation of periodic solutions into invariant tori: the work of Ruelle and Takens (pp. 159–192); Joel L. Lebowitz, Ergodic theory and statistical mechanics of non-equilibrium processes (pp. 193–209); Grégoire Nicolis, Mathematical problems in theoretical biology (pp. 210–230); George H. Pimbley, On predator-prey equations simulating an immune response (pp. 231–243); Michael Reeken, Bifurcation theory for gradient systems (pp. 244–260); D. H. Sattinger, Six lectures on the transition to instability (pp. 261–287); R. B. Simpson, Groundwater flow as a singular perturbation problem and remarks about numerical methods (pp. 288–297); I. Stakgold and L. E. Payne, Nonlinear problems in nuclear reactor analysis (pp. 298–307); Colin J. Thompson, Some non-linear problems in statistical mechanics and biology (pp. 308–342); Charles Walter, Stability properties and periodic behavior of controlled biochemical systems (pp. 343–357).