## Optimal Control of Differential EquationsNicolae H. Pavel "Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics. Introduces new results as well as novel methods and techniques!" |

### Contents

To Constantin Corduneanu on the Occasion of His SixtyFifth Birthday | 10 |

Optimal Control Problems Governed by Volterra Integral Inclusions | 21 |

Viorel Barbu and Karl Kunisch | 29 |

Continuity of a Parametrized Linear Quadratic Optimal Control Problem | 69 |

Giuseppe Da Prato | 79 |

Optimal Boundary Control of Nonlinear Parabolic Equations | 91 |

9 | 108 |

10 | 114 |

Necessary and Sufficient Conditions for Optimality for Nonlinear Control | 195 |

Pareto Optimality Conditions for Abnormal Optimization and Optimal | 217 |

A Theory of First and Second Order Conditions for Nonregular Extremum | 237 |

Existence Approximation and Suboptimality Conditions for Minimax Control | 251 |

Optimal Control Problems for Some First and Second Order Differential | 271 |

A Variational Approach to Shape Optimization for the NavierStokes Equations | 281 |

A Strong Version of the Lojasiewicz Maximum Principle | 293 |

On the Relationship Between the Optimal Quadratic Cost Problems on | 311 |

von Kármán System with Nonlinear Dissipative Boundary Conditions | 133 |

Optimal Control Hyperbolic Systems with Bounded Variation of Controls | 159 |

Further Regularity Properties in Quadratic Cost Problems for Parabolic | 173 |

A Sharp Result on the Exponential OperatorNorm Decay of a Family Tht | 325 |

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absolutely continuous adjoint Algebraic Riccati Equation Applications approximation assume assumptions Avakov Banach space boundary conditions boundary control bounded compact consider Control Theory convergence convex convex sets corresponding cost functional defined denote derivatives Differential Equations dual Dubovitskii-Milyutin equality constraints exists finite Fréchet differentiable given H˛(N Hence Hilbert space hypotheses implies inequality constraints integral L˛(n Lasiecka Lebesgue measurable Lemma linear Lipschitz lower semicontinuous Math Mathematics Maximum Principle measurable mild solution minimax minimizing Moreover necessary conditions nonempty nonlinear norm obtain operator optimal control problem optimal pair optimization problem parabolic parameter Pareto optimal Partial Differential Equations proof of Theorem prove regularity Riccati Equation satisfies second order feasible semidifferentiable semigroup sequence stochastic subset tangent cone Theorem 2.2 Theory topology trajectory Triggiani unique solution variation vector weakly