Equadiff 6 : Proceedings of the International Conference on Differential Equations and their Applications, Held in Brno, Czechoslovakia, Aug. 26-30, 1985 (Lecture Notes in Mathematics 1192) (1986. XX, 424 S.)

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Equadiff 6 : Proceedings of the International Conference on Differential Equations and their Applications, Held in Brno, Czechoslovakia, Aug. 26-30, 1985 (Lecture Notes in Mathematics 1192) (1986. XX, 424 S.)

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Description

Mathematical and numerical study of nonlinear problems in fluid mechanics.- Free boundary problems in fluid dynamics.- Method of rothe in evolution equations.- Boundary value problems in weighted spaces.- Critical point theory and nonlinear differential equations.- Ordinary linear differential equations - A survey of the global theory.- Numerical and theoretical treating of evolution problems by the method of discretization in time.- Algorithms for the inclusion of solutions of ordinary initial value problems.- Recent developments in the theory of function spaces.- On properties of oscillatory solutions of non-linear differential equations of the n-th order.- Uniqueness without continuous dependence.- Connections in scalar reaction diffusion equations with neumann boundary conditions.- On a certain boundary value problem of the third order.- On nonparasite solutions.- Uniform zeros for beaded strings.- Perron intergaral, perron product integral and ordinary linear differential equations.- On the zeros of some special functions: Differential equations and nicholson-type formulas.- Surjectivity and boundary value problems.- Some problems concerning the equivalences of two systems of differential equations.- Linear perturbations of general disconjugate equations.- On optimal control of systems with interface side conditions.- A description of blow-up for the solid fuel ignition model.- Spectral analysis of non-self-adjoint elliptic operators.- On the Mountain Pass Lemma.- On uniqueness and stability of steady-state carrier distributions in semiconductors.- Partial regularity of minimizers.- Periodic solutions of partial differential equations with hysteresis.- Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions.- Boundary integralequations of elasticity in domains with piecewise smooth boundaries.- Higher regularity of weak solutions of strongly nonlinear elliptic equations.- Some regularity results for quasilinear parabolic systems.- Classical boundary value problems for Monge-Ampère type equations.- Qualitative properties of the solutions to the navier-stokes equations for compressible fluids.- On Gel'fand's method of chasing for silving multipoint boundary value problems.- Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations.- Recent results in the approximation of free boundaries.- Finite element solution of a nonlinear diffusion problem with a moving boundary.- Analysis of thacker's method for solving the linearized shallow water equations.- The convergence of a new method for calculating lower bounds to eigenvalues.- Bifurcation analysis of stimulated brillouin scattering.- Superconvergence results for linear triangular elements.- Mixed finite element in 3D in H(div) and H(curl).- Free boundary problems for stokes' flows and finite element methods.- Enclosing methods for perturbed boundary value problems in nonlinear difference equations.- Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data.- Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment.- Some new convergence results in finite element theories for elliptic problems.- Mathematical solution of direct and inverse problem for transonic cascade flows.- Einige Anwendungen der Mehrdimensionalen Approximationstheorie zur Lösungseinschließung bei Randwertaufgaben.- A posteriori estimations of approximate solutions for some types of boundary value problems.- Nonlineardynamics systems - bifurcations, continuation methods, periodic solutions.- The rothe method for nonlinear hyperbolic problems.- Some solved and unsolved canonical problems of diffraction theory.- Entropy compactification of the transonic flow.- The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid.- Bifurcations near a double eigenvalue of the rect

Contents

Mathematical and numerical study of nonlinear problems in fluid mechanics.- Free boundary problems in fluid dynamics.- Method of rothe in evolution equations.- Boundary value problems in weighted spaces.- Critical point theory and nonlinear differential equations.- Ordinary linear differential equations — A survey of the global theory.- Numerical and theoretical treating of evolution problems by the method of discretization in time.- Algorithms for the inclusion of solutions of ordinary initial value problems.- Recent developments in the theory of function spaces.- On properties of oscillatory solutions of non-linear differential equations of the n-th order.- Uniqueness without continuous dependence.- Connections in scalar reaction diffusion equations with neumann boundary conditions.- On a certain boundary value problem of the third order.- On nonparasite solutions.- Uniform zeros for beaded strings.- Perron intergaral, perron product integral and ordinary linear differential equations.- On the zeros of some special functions: Differential equations and nicholson-type formulas.- Surjectivity and boundary value problems.- Some problems concerning the equivalences of two systems of differential equations.- Linear perturbations of general disconjugate equations.- On optimal control of systems with interface side conditions.- A description of blow-up for the solid fuel ignition model.- Spectral analysis of non-self-adjoint elliptic operators.- On the Mountain Pass Lemma.- On uniqueness and stability of steady-state carrier distributions in semiconductors.- Partial regularity of minimizers.- Periodic solutions of partial differential equations with hysteresis.- Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions.- Boundary integralequations of elasticity in domains with piecewise smooth boundaries.- Higher regularity of weak solutions of strongly nonlinear elliptic equations.- Some regularity results for quasilinear parabolic systems.- Classical boundary value problems for Monge-Ampère type equations.- Qualitative properties of the solutions to the navier-stokes equations for compressible fluids.- On Gel'fand's method of chasing for silving multipoint boundary value problems.- Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations.- Recent results in the approximation of free boundaries.- Finite element solution of a nonlinear diffusion problem with a moving boundary.- Analysis of thacker's method for solving the linearized shallow water equations.- The convergence of a new method for calculating lower bounds to eigenvalues.- Bifurcation analysis of stimulated brillouin scattering.- Superconvergence results for linear triangular elements.- Mixed finite element in 3D in H(div) and H(curl).- Free boundary problems for stokes' flows and finite element methods.- Enclosing methods for perturbed boundary value problems in nonlinear difference equations.- Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data.- Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment.- Some new convergence results in finite element theories for elliptic problems.- Mathematical solution of direct and inverse problem for transonic cascade flows.- Einige Anwendungen der Mehrdimensionalen Approximationstheorie zur Lösungseinschließung bei Randwertaufgaben.- A posteriori estimations of approximate solutions for some types of boundary value problems.- Nonlineardynamics systems - bifurcations, continuation methods, periodic solutions.- The rothe method for nonlinear hyperbolic problems.- Some solved and unsolved canonical problems of diffraction theory.- Entropy compactification of the transonic flow.- The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid.- Bifurcations near a double eigenvalue of the rectangular plate problem with a domain parameter.- Delay makes problems in population modelling.

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