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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Differential calculus and equations > Differential Equations and Its Applications: (Vol 62 Colloquia mathematica societatis Janos Bolyai)
Differential Equations and Its Applications: (Vol 62 Colloquia mathematica societatis Janos Bolyai)

Differential Equations and Its Applications: (Vol 62 Colloquia mathematica societatis Janos Bolyai)


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About the Book

This volume focuses on partial differential equations and their applications. Topics include: non-linear elliptic problems; reaction-diffusion systems; retarded functional differential equations; problems of bifurcation theory; and applications in beam theory, biology and heat transfer.

Table of Contents:
The differential equations of the classical orthogonal polynomials derived from recurrence formulae, A.L.W. von Bachhaus; a new exact solution to the classical equations of motion of the relativistic string with massive ends, B.M. Barbashov and A.M. Chervyakov; asymptotic eigenvalue distribution of elliptic operators of second order in self-similar irregular domains of the Maz'ja class, G. Berger; existence and multiplicity results for semilinear beam equations, J. Berkovits and V. Mustonen; nonlinear differential equation with self-excited and parametric excitations, Tran Kim Chi and Nguyen Van Dao; harmonic excitation of a two-degree-of-freedom system having cubic nonlinearities, Nguyen Van Dao; periodic boundary value problem for a matrix differential equation, T. Dlotko; arc length as bifurcation parameter in elementary Beam theory, G. Domokos; positivity of the finite difference scheme for the linear parabolic problem, I. Farago; integral equation method for three-dimensional partial differential equations, R.H. Farzan; a stability property of A-methods for solving ordinary differential equations, A. Galantai; w-limit sets in Banach spaces, B.M. Garay; reaction-diffusion systems in biology, V. Hutson; stability investigation of a nonlinear parabolic equation, V. Kertesz; on the approximation scheme for the abstract Bernoulli multilinear equation, Z. Kielek; asymptotic stability of linear nonautonomous dissipative hyperbolic partial differential equation, M. Klincsik; a generalization of Ingham's inequality, V. Komornik; mixed selfadjoint boundary conditions for the wave equation, K. Kreith; a bifurcation of periodic solutions to ordinary differential inequalities, M. Kucera; oscillation of general systems of two functional differential equations, J. Mikolajski; sets of fractional dimensions, A. Nagel; existence results for strongly nonlinear functional-elliptic problems, L. Simon; the asymptotic behaviour of trajectories of singularly perturbed dynamical systems, M. Yu. Skvortsov and M.I. Vishik; the oscillatory behaviour of solutions of linear differential equations with delay argument, A. Teclaw and J. Werbowski; some existence and uniqueness results for solution of some quasilinear elliptic equations on compact Riemannian manifolds, L. Veron; on a functional integrability and asymptotic properties of some nonlinear ordinary differential equations, A. Wyrwinska; variational inequalities with degenerate elliptic operators, W.P. Ziemer.


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Product Details
  • ISBN-13: 9780444818607
  • Publisher: Elsevier Science & Technology
  • Publisher Imprint: Elsevier Science Ltd
  • Series Title: Vol 62 Colloquia mathematica societatis Janos Bolyai
  • ISBN-10: 044481860X
  • Publisher Date: 27 May 1994
  • Binding: Hardback


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