Equadiff IV [electronic resource] : Proceedings, Prague, August 22–26, 1977 / edited by Jiří Fábera.

Invariant sets for semilinear parabolic and elliptic systems -- On the numerical solution of nonlinear partial differential equations on divergence form -- Application of the averaging method for the solution of boundary problems for ordinary differential and integro-differential equations -- Solution set properties for some nonlinear parabolic differential equations -- Asymptotic invariant sets of autonomous differential equations -- Algebraic methods in the theory of global properties of the oscillatory equations Y?=Q(t)Y -- Stability problems in mathematical theory of viscoelasticity -- On the branching of solutions and Signorini's perturbation procedure in elasticity -- Differential subspaces associated with pairs of ordinary differential operators -- Control and the Van der Pol equation -- On properties of spectral approximations -- Singular perturbations and linear feedback control -- On some inverse problems for partial differential equations -- Nonlinear noncoercive boundary value problems -- On the iterative solution of some nonlinear evolution equations -- Exponential representation of solutions of ordinary differential equations -- The Rayleigh and Van der Pol wave equations, some generalizations -- The Dirichlet problem -- Multiple solutions of some asymptotically linear elliptic boundary value problems -- Dual finite element analysis for some unilateral boundary value problems -- Gradient alternating-direction methods -- Nonlinear parabolic boundary value problems with the time derivative in the boundary conditions -- Variational and boundary value problems for differential equations with deviating argument -- On a general conception of duality in optimal control -- Boundary value problems for systems of nonlinear differential equations -- Boundary behavior of potentials -- Some modifications of sobolev spaces and non-linear boundary value problems -- Some problems in neutron transport theory -- On formulation and solvability of boundary value problems for viscous incompressible fluids in domains with non-compact boundaries -- Boundary value problems at resonance for vector second order nonlinear ordinary differential equations -- Behaviour of solutions to the dirichlet problem for the biharmonic operator at a boundary point -- Asymptotic methods for singularly perturbed linear differential equations in Banach spaces -- Non linear quasi variational inequalities and stochastic impulse control theory -- On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems -- The solution of parabolic models by finite element space and A-stable time discretization -- Global properties of the nth order linear differential equations -- A forced quasilinear wave equation with dissipation -- Energetic estimates analogous to the Saint-Venant principle and their applications -- A priori bounds for a semilinear wave equation -- The method of least squares on the Boundary and very weak solutions of the first biharmonic problem -- Application of bounded operators and Lyapunov's majorizing equations to the analysis of differential equations with a small parameter -- On linear problems in the space BV -- A partially ordered space connected with the de la Vallée poussin problem -- Abstract Cauchy problem -- Solution of symmetric positive systems of differential equations -- Some problems concerning the functional differential equations -- A-stability and numerical solution of abstract differential equations -- Mapping properties of regular and strongly degenerate elliptic differential operators in the besov spaces B p,p s (?). The case 0<p<? -- A new definition and some modifications of Filippov cone.