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Ordinary and Partial Differential Equations [electronic resource] : Proceedings of the Conference held at Dundee, Scotland, 26–29 March, 1974 / edited by B. D. Sleeman, I. M. Michael.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 415Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1974Description: XX, 452 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540372646
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 515.353 23
LOC classification:
  • QA370-380
Online resources:
Contents:
Partial differential equations related to extremal problems for quasiconformal mappings -- Singularly perturbed initial value problems -- Existence and bounds for the lowest critical energy of the hartree operator -- Positive invariance and a Wazewski Theorem -- An application of the hausdorff-young inequality to eigenfunction expansions -- On central dispersions of the differential equation Y?=q(t)Y with periodic coefficients -- Generalized translation operators associated with a singular differential operator -- Multi-parameter problems -- Monotonicity with discontinuities in partial differential equations -- On a deficiency index theorem of W. N. Everitt -- The essential self-adjointness of Schrödinger operators -- Nonlinear elliptic equations -- A differential inequality with applications to subharmonic functions -- Inequalities associated with certain partial differential operators -- The expansion theorem in multi-parameter sturm-liouville theory -- On the differential equation cr (pD1+qD2)ru=0 -- Fundamental solutions for degenerate parabolic equations -- Singular perturbations of a vector boundary value problem -- Asymptotic integration of linear systems -- Nonlinear perturbations of linear elliptic operators -- Limit point-limit circle criteria for (py?)?+qy=?ky -- On second-order differential operators of limit-circle type -- A dynamical approach to fourth order oscillations -- Over-determined systems and the rectilinear steady flow of simple fluids -- A necessary and sufficient limit-circle criterion for left-definite eigenvalue problems -- Generalized weyl circles -- Existence and multiplicity of solutions of some nonlinear equations -- The floquet problem for almost periodic linear differential equations -- Global estimates for nonlinear reaction and diffusion -- Perturbation theory for Sobolew spaces -- Perturbations of self-adjoint operators in L2 (G) with applications to differential operators -- Square integrable solutions of Lp perturbations of second order linear differential equations -- Deficiency indices of polynomials in symmetric differential expressions -- Transform theorems for two-parameter eigenvalue problems in hilbert space -- Bivariational bounds on ??,g?, when A?=f -- On the limit point and strong limit point classification of 2nth order differential expressions with wildly oscillating coefficients -- Determination of Weyl's m-coefficient for a continuous spectrum -- The matrix functional-differential equation y?(x)=Ay(?x)+By(x) -- A tetrad approach for a system of PDE's -- Quasi-analytic solutions of differential equations -- Integral inequalities and the Liouville transformation -- Hopf bifurcation with an infinite limiting period -- N-Soliton solutions of some non-linear dispersive wave equations of physical significance -- Continuity of generalized solutions of the cauchy problem for the porous medium equation -- Two timing for abstract differential equations -- Counterexamples in the spectral theory of singular Sturm — Liouville operators -- Perturbation of a singular boundary value problem arising from torsional vibration of an inhomogeneous cylinder -- Some function theoretical aspects in the theory of partial differential equations -- A multi-parameter sturm-liouville problem -- Periodic solutions of holomorphic differential equations -- Volterra equations on a hilbert space -- How to get numerical convergence out of instable algorithms -- On the existence of an interface in nonlinear diffusion processes -- Hölder continuous nonlinear product integrals -- Continuous spectra and linear operator equations -- Asymptotic linearity and a class of noninear Sturm-Liouville problems on the half line -- An elementary calculus for Green's functions associated with singular boundary value problems -- Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in Banachräumen -- On the integral equation method for boundary-value problems.
In: Springer eBooks
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Partial differential equations related to extremal problems for quasiconformal mappings -- Singularly perturbed initial value problems -- Existence and bounds for the lowest critical energy of the hartree operator -- Positive invariance and a Wazewski Theorem -- An application of the hausdorff-young inequality to eigenfunction expansions -- On central dispersions of the differential equation Y?=q(t)Y with periodic coefficients -- Generalized translation operators associated with a singular differential operator -- Multi-parameter problems -- Monotonicity with discontinuities in partial differential equations -- On a deficiency index theorem of W. N. Everitt -- The essential self-adjointness of Schrödinger operators -- Nonlinear elliptic equations -- A differential inequality with applications to subharmonic functions -- Inequalities associated with certain partial differential operators -- The expansion theorem in multi-parameter sturm-liouville theory -- On the differential equation cr (pD1+qD2)ru=0 -- Fundamental solutions for degenerate parabolic equations -- Singular perturbations of a vector boundary value problem -- Asymptotic integration of linear systems -- Nonlinear perturbations of linear elliptic operators -- Limit point-limit circle criteria for (py?)?+qy=?ky -- On second-order differential operators of limit-circle type -- A dynamical approach to fourth order oscillations -- Over-determined systems and the rectilinear steady flow of simple fluids -- A necessary and sufficient limit-circle criterion for left-definite eigenvalue problems -- Generalized weyl circles -- Existence and multiplicity of solutions of some nonlinear equations -- The floquet problem for almost periodic linear differential equations -- Global estimates for nonlinear reaction and diffusion -- Perturbation theory for Sobolew spaces -- Perturbations of self-adjoint operators in L2 (G) with applications to differential operators -- Square integrable solutions of Lp perturbations of second order linear differential equations -- Deficiency indices of polynomials in symmetric differential expressions -- Transform theorems for two-parameter eigenvalue problems in hilbert space -- Bivariational bounds on ??,g?, when A?=f -- On the limit point and strong limit point classification of 2nth order differential expressions with wildly oscillating coefficients -- Determination of Weyl's m-coefficient for a continuous spectrum -- The matrix functional-differential equation y?(x)=Ay(?x)+By(x) -- A tetrad approach for a system of PDE's -- Quasi-analytic solutions of differential equations -- Integral inequalities and the Liouville transformation -- Hopf bifurcation with an infinite limiting period -- N-Soliton solutions of some non-linear dispersive wave equations of physical significance -- Continuity of generalized solutions of the cauchy problem for the porous medium equation -- Two timing for abstract differential equations -- Counterexamples in the spectral theory of singular Sturm — Liouville operators -- Perturbation of a singular boundary value problem arising from torsional vibration of an inhomogeneous cylinder -- Some function theoretical aspects in the theory of partial differential equations -- A multi-parameter sturm-liouville problem -- Periodic solutions of holomorphic differential equations -- Volterra equations on a hilbert space -- How to get numerical convergence out of instable algorithms -- On the existence of an interface in nonlinear diffusion processes -- Hölder continuous nonlinear product integrals -- Continuous spectra and linear operator equations -- Asymptotic linearity and a class of noninear Sturm-Liouville problems on the half line -- An elementary calculus for Green's functions associated with singular boundary value problems -- Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in Banachräumen -- On the integral equation method for boundary-value problems.

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