Ordinary and Partial Differential Equations

Proceedings of the Sixth Conference Held at Dundee, Scotland, March 31 - April 4, 1980
Herausgegeben:Everitt, W. N.; Sleeman, B. D.

• Broschiertes Buch

Produktbeschreibung

Equivalence of differential operators.- Some unitarily equivalent differential operators with finite and infinite singularities.- The land beyond bessel: A survey of higher special functions.- Nonlinear two-point boundary value problems.- On nonlinear boundary value problems for an elliptic system in the plane.- Totally singular extensions of the Cauchy problem for a special class of partial derivative operators with distributional coefficients.- Complex extensions of a submanifold of solutions of the sine-gordon equation.- Remark on bifurcation problems with several parameters.- Asymptotic theory and deficiency indices for fourth and higher order self-adjoint equations: A simplified approach.- On the spectra of Schr¿dinger operators with a complex potential.- Non-modal eigenfunction expansions.- Asymptotic distribution of eigenvalues of elliptic operators on unbounded domains.- Generalized hyperanalytic function theory.- Some spectral gap results.- A regular left-definite eigenvalue problem with eigenvalue parameter in the boundary conditions.- Some topics in nonlinear wave propagation.- An ordering of oscillation types for y(n) + py = 0.- Fundamental properties of the solutions of quasilinear differential equations of the fifth order.- Oscillation properties of weakly nonlinear differential equations.- On boundary integral equation methods in stationary electromagnetic reflection.- Norm inequalities for derivatives.- Fixed point theorems.- Automatic control of errors for invariant imbedding.- A bound for solutions of a fourth order dynamical system.- Reducibility of almost periodic linear systems.- Convergence of solutions of infinite delay differential equations with an underlying space of continuous functions.- On a system of non linear strongly coupled partial differential equations arising in biology.- Differential operators with discrete spectrum.- On spectral theory for the linear selfadjoint equation Fy = ?Gy.- Estimates for some free boundary problems.- A new proof of existence of similarity solutions.- Symmetry and bifurcation from multiple eigenvalues.- Convergence to a travelling wave in an initial-boundary value problem.- Geometric remarks on second order criteria for maxima and minima.- Variational methods and almost solvability of semilinear equations.

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Produktdetails

• Lecture Notes in Mathematics 846
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-10569-5
• 1981
• Seitenzahl: 400
• Erscheinungstermin: 1. Februar 1981
• Englisch
• Abmessung: 235mm x 155mm x 22mm
• Gewicht: 632g
• ISBN-13: 9783540105695
• ISBN-10: 3540105697
• Artikelnr.: 23569895

Inhaltsangabe

Equivalence of differential operators.- Some unitarily equivalent differential operators with finite and infinite singularities.- The land beyond bessel: A survey of higher special functions.- Nonlinear two-point boundary value problems.- On nonlinear boundary value problems for an elliptic system in the plane.- Totally singular extensions of the Cauchy problem for a special class of partial derivative operators with distributional coefficients.- Complex extensions of a submanifold of solutions of the sine-gordon equation.- Remark on bifurcation problems with several parameters.- Asymptotic theory and deficiency indices for fourth and higher order self-adjoint equations: A simplified approach.- On the spectra of Schrödinger operators with a complex potential.- Non-modal eigenfunction expansions.- Asymptotic distribution of eigenvalues of elliptic operators on unbounded domains.- Generalized hyperanalytic function theory.- Some spectral gap results.- A regular left-definite eigenvalue problem with eigenvalue parameter in the boundary conditions.- Some topics in nonlinear wave propagation.- An ordering of oscillation types for y(n) + py = 0.- Fundamental properties of the solutions of quasilinear differential equations of the fifth order.- Oscillation properties of weakly nonlinear differential equations.- On boundary integral equation methods in stationary electromagnetic reflection.- Norm inequalities for derivatives.- Fixed point theorems.- Automatic control of errors for invariant imbedding.- A bound for solutions of a fourth order dynamical system.- Reducibility of almost periodic linear systems.- Convergence of solutions of infinite delay differential equations with an underlying space of continuous functions.- On a system of non linear strongly coupled partialdifferential equations arising in biology.- Differential operators with discrete spectrum.- On spectral theory for the linear selfadjoint equation Fy = ?Gy.- Estimates for some free boundary problems.- A new proof of existence of similarity solutions.- Symmetry and bifurcation from multiple eigenvalues.- Convergence to a travelling wave in an initial-boundary value problem.- Geometric remarks on second order criteria for maxima and minima.- Variational methods and almost solvability of semilinear equations.