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Intro; Preface; Contents; Part I Research Articles; Part II Expository Review; Part III Mini Courses; The 6th Conference toon toMathematical Analysis in Economic Theory; Index; Local Risk-Minimization for Barndorff-Nielsen and Shephard Models with Volatility Risk Premium; On a Fractional Differential Inclusion in Banach Space Under Weak Compactness Condition; On First-Order Partial Differential Equations: An Existence Theorem and Its Applications; Real Radicals and Finite Convergence of Polynomial Optimization Problems
On Differentiated and Indivisible Commodities: An Expository Re-framing of Mas-Colell's 1975 ModelSurvey of the Theory of Extremal Problems; Fourier Analysis of Periodic Weakly Stationary Processes: A Note on Slutsky's Observation; Programme; 1 Introduction; 2 Preliminaries; 3 Main Results; 4 Conclusions; References; 1 Introduction and Preliminaries; 2 Preliminaries on the Fractional Integral; 3 Fractional Differential Inclusion in Bochner Setting; 4 Fractional Differential Inclusion in Pettis Setting; 5 Multivalued Integral Inclusion; 6 Relaxation and Control Problem; References
1 Introduction2 Main Results; References; 1 Introduction; 2 Preliminaries; 3 Finite Convergence Property; 4 Closedness of Truncated Quadratic Modules; References; 1 Introduction; 2 The Model and the Basic Existence Result; 3 Discussion of the Result; 4 Proofs of Theorems; Appendix; References; Introduction; 1 Base of the Theory; 2 Necessary Conditions (Principle of Lagrange); 3 Stability of Solutions and Sufficient Conditions (Ideas of Hamilton and Jacobi); 4 Existence (Principles of Compactness, Contractibility, Topology, Order and Monotonicity); 5 Algorithms (Methods of Solutions)
2.4 Application in Economics: The Integrability ProblemSemidefinite Programming; Sums of Square Polynomials; Real Algebra; Lasserre's Hierarchy; 3.1 Distributionalized and Individualized Formulations; 3.2 Potential Alternative Hypotheses for the Result; 4.1 Proof of Theorem 2.1; 4.2 Proofs of Theorems 3.1 and 3.2; 3.1 Construction of Fields; 3.2 Conditions of Extrema for the Simplest Problem of Calculus of Variations
On Differentiated and Indivisible Commodities: An Expository Re-framing of Mas-Colell's 1975 ModelSurvey of the Theory of Extremal Problems; Fourier Analysis of Periodic Weakly Stationary Processes: A Note on Slutsky's Observation; Programme; 1 Introduction; 2 Preliminaries; 3 Main Results; 4 Conclusions; References; 1 Introduction and Preliminaries; 2 Preliminaries on the Fractional Integral; 3 Fractional Differential Inclusion in Bochner Setting; 4 Fractional Differential Inclusion in Pettis Setting; 5 Multivalued Integral Inclusion; 6 Relaxation and Control Problem; References
1 Introduction2 Main Results; References; 1 Introduction; 2 Preliminaries; 3 Finite Convergence Property; 4 Closedness of Truncated Quadratic Modules; References; 1 Introduction; 2 The Model and the Basic Existence Result; 3 Discussion of the Result; 4 Proofs of Theorems; Appendix; References; Introduction; 1 Base of the Theory; 2 Necessary Conditions (Principle of Lagrange); 3 Stability of Solutions and Sufficient Conditions (Ideas of Hamilton and Jacobi); 4 Existence (Principles of Compactness, Contractibility, Topology, Order and Monotonicity); 5 Algorithms (Methods of Solutions)
2.4 Application in Economics: The Integrability ProblemSemidefinite Programming; Sums of Square Polynomials; Real Algebra; Lasserre's Hierarchy; 3.1 Distributionalized and Individualized Formulations; 3.2 Potential Alternative Hypotheses for the Result; 4.1 Proof of Theorem 2.1; 4.2 Proofs of Theorems 3.1 and 3.2; 3.1 Construction of Fields; 3.2 Conditions of Extrema for the Simplest Problem of Calculus of Variations