DIFFERENTIAL EQUATIONS, CHAOS AND VARIATIONAL PROBLEMS
CONTENTS NODAL AND MULTIPLE CONSTANT SIGN SOLUTION FOR EQUATIONS WITH THE P-LAPLACIAN A YOUNG MEASURES APPROACH TO AVERAGING VIABILITY KERNELS AND CAPTURE BASINS FOR ANALYZING THE DYNAMIC BEHAVIOR: LORENZ ATTRACTORS, JULIA SETS, AND HUTCHINSON’S MAPS GENERALIZED STEINER SELECTIONS APPLIED TO STANDARD PROBLEMS OF SET-VALUED NUMERICAL ANALYSIS ON THE EULER-LAGRANGE EQUATION FOR A VARIATIONAL PROBLEM SINGULAR LIMITS FOR IMPULSIVE LAGRANGIAN SYSTEMS WITH DISSIPATIVE SOURCES LIPSCHITZ CONTINUITY OF OPTIMAL TRAJECTORIES IN DETERMINISTIC OPTIMAL CONTROL AN OVERVIEW ON EXISTENCE OF VECTOR MINIMIZERS FOR ALMOST CONVEX 1?DIM INTEGRALS STRICT CONVEXITY, COMPARISON RESULTS AND EXISTENCE OF SOLUTIONS TO VARIATIONAL PROBLEMS NECESSARY OPTIMALITY CONDITIONS FOR DISCRETE DELAY INCLUSIONS NECESSARY CONDITIONS IN OPTIMAL CONTROL AND IN THE CALCULUS OF VARIATIONS ALMOST PERIODICITY IN FUNCTIONAL EQUATIONS AGE-DEPENDENT POPULATION DYNAMICS WITH THE DELAYED ARGUMENT CHAOS IN THE ST¨ORMER PROBLEM HAUSDOR?DIMENSION VERSUS SMOOTHNESS ON BOUNDED TRAJECTORIES FOR SOME NON-AUTONOMOUS SYSTEMS ON GENERALIZED DI?ERENTIAL QUOTIENTS AND VIABILITY NONLINEAR PREDICTION IN RIVER?OW – THE PAIVA RIVER CASE SHADOWING IN HIGHER DIMENSIONS BOUNDARY VALUE PROBLEMS FOR NONLINEAR PERTURBATIONS OF SINGULAR ?-LAPLACIANS EXISTENCE, NONEXISTENCE AND MULTIPLICITY RESULTS FOR SOME BEAM EQUATIONS REDUCING A DI?ERENTIAL GAME TO A PAIR OF OPTIMAL CONTROL PROBLEMS OPTIMAL CONTROL OF NONCONVEX DI?ERENTIAL INCLUSIONS ON CHAOS OF A CUBIC P-ADIC DYNAMICAL SYSTEM SOME NEW CONCEPTS OF DIMENSION DEGREE AND ALMOST PERIODICITY L?-ENERGY METHOD, BASIC TOOLS AND USAGE SINGULAR SET OF CERTAIN POTENTIAL OPERATORS IN HILBERT SPACES SHAPE AND CONLEY INDEX OF ATTRACTORS AND ISOLATED INVARIANT SETS REGULARITY OF SOLUTIONS FOR THE AUTONOMOUS INTEGRALS OF THE CALCULUS OF VARIATIONS MULTI-MODAL PERIODIC TRAJECTORIES IN FERMI–PASTA–ULAM CHAINS CONTROL OF TRANSIENT CHAOS USING SAFE SETS IN SIMPLE DYNAMICAL SYSTEMS