Proceedings of the Fourth International Colloquium on Differential Equations, Plovdiv, Bulgaria, 18–22 August 1993

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This collection covers a wide array of advanced mathematical topics and methodologies. It begins with periodic solutions for multi-phase Stefan problems featuring dynamic boundary conditions, followed by discussions on overdetermined problems for elliptic equations. The text explores mixed finite-element methods applicable to flow in porous media and examines limit sets of impulsive dynamical systems. Non-classical dynamic programming in optimal control is addressed, alongside Painleve analysis of nonlinear reaction-diffusion systems. The work delves into weighted interpolation and Hardy inequalities, presenting spectral theoretic applications. It also discusses probabilistic approaches to relativity and gravitation, monodromic unbounded polycycles, and uniform schemes for singularly perturbed scalar initial value problems. Recent developments in the operator theoretical treatment of partial differential equations are highlighted, including the Hilbert-Arnold problem for cubic Hamiltonians and limit cycles. Further topics include periodic solutions of neutral impulsive systems with small delays, analytic-numerical solutions of variable coefficient second-order delay differential equations, and localization of global existence for holomorphic solutions of differential equations with complex parameters. The text also addresses boundary value problems, estimates for solutions of elliptic-parabolic difference differential equati