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Recent advances in differential equations
1 online resource (xi, 447 pages) : illustrations
Front Cover; Recent AdvancesinDifferential Equations; Copyright Page; Table of Contents; Contributors; Preface; CHAPTER 1. NONCOOPERATIVE TRAJECTORIES OF n-PERSON DYNAMICAL GAMES AND STABLE NONCOOPERATIVE EQUILIBRIA; I. INTRODUCTION; II. NONCOOPERATIVE TRAJECTORIES; III. STATEMENT OF EXISTENCE THEOREMS; IV. EXISTENCE OF DISCRETE NONCOOPERATIVE TRAJECTORIES; V. EXISTENCE OF CONTINUOUS NONCOOPERATIVE TRAJECTORIES; VI. STABLE NONCOOPERATIVE EQUILIBRIA; REFERENCES; CHAPTER 2. PROCESSUS DE CONTRÔLE AVEC CONTRÔLE INITIAL; I. INTRODUCTION; II. RESULTATS PRINCIPAUX; III. DEMONSTRATIONS; BIBLIOGRAPHIE
CHAPTER 3. DETERMINATION AND APPLICATION OF VEKUA RESOLVENTSAPPLICATIONS; REFERENCES; CHAPTER 4. GENERALIZED HOPF BIFURCATION; I. INTRODUCTION; II. RESULTS; III. OUTLINE OF PROOFS; REFERENCES; CHAPTER 5. PERTURBATION OF LINEAR DIFFERENTIAL EQUATIONS BY A HALF-LINEAR TERM DEPENDING ON A SMALL PARAMETER; CHAPTER 6. ON SOME CAUCHY PROBLEMS ARISING IN COMPUTATIONAL METHODS; REFERENCES; CHAPTER 7. COMPARISON RESULTS AND CRITICALITY IN SOME COMBUSTION PROBLEMS; I. INTRODUCTION; II. A MODEL PROBLEM; III. A COMPARISON RESULT; IV. SOME CRITICALITY CALCULATIONS; CAPTION FOR FIGURE; REFERENCES
CHAPTER 8. BOUNDARY VALUE PROBLEMS FOR PAIRS OF ORDINARY DIFFERENTIAL OPERATORSI. INTRODUCTION; II. THE DIFFERENTIAL OPERATOR M; III. THE HILBERTSPACE; IV. SUBSPACES A DETERMINED BY L,M; V. RESOLVENTS; CHAPTER 9. SEMILINEAR ELLIPTIC EQUATIONS AT RESONANCE: HIGHER EIGENVALUES AND UNBOUNDED NONLINEARITIES; REFERENCES; CHAPTER 10. COUNTABLE SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS; ACKNOWLEDGEMENT; REFERENCES; CHAPTER 11. THE ROLE OF THE STRUCTURAL OPERATOR AND THE QUOTIENT SPACE STRUCTURE IN THE THEORY OF HEREDITARY DIFFERENTIAL EQUATIONS; I. INTRODUCTION
II. REVIEW OF AUTONOMOUS LINEAR SYSTEMSIII. THE STRUCTURAL OPERATOR; IV. QUOTIENT SPACE AND QUOTIENT SEMIGROUP; REFERENCES; CHAPTER 12. DEGENERATE EVOLUTION EQUATIONS AND SINGULAR OPTIMAL CONTROL; REFERENCES; CHAPTER 13. COMMUTATIVE LINEAR DIFFERENTIAL OPERATORS; I. INTRODUCTION; II. NOTATIONS; III. THE RING OF OPERATORS; IV. COMMUTATIVE OPERATORS; CHAPTER 14. APPROXIMATIONS OF DELAYS BY ORDINARYDIFFERENTIAL EQUATIONS; I. INTRODUCTION. STATE OF THE ART; PART I: COUPLED DIFFERENTIAL AND DIFFERENCE EQUATIONS; PART II: APPLICATIONS TO THE FOUNDATIONSOF THE METHOD OFLINES; REFERENCES
CHAPTER 15. LINEAR STIELTJES INTEGRO-DIFFERENTIAL EQUATIONSABSTRACT; I. INTRODUCTION; II. NOTATIONS; III. THE MAIN THEOREM; REFERENCES; CHAPTER 16. A CRITICAL STUDY OF STABILITY OF NEUTRALFUNCTIONAL DIFFERENTIAL EQUATIONS; I. SOME STABILITY IMPLICATIONS; II. DISSIPATIVE PROCESS; III. TOTAL AND INTEGRAL STABILITY; IV. INTEGRAL STABILITY; REFERENCES; CHAPTER 17. NONLINEAR PERTURBATIONS OF LINEAR PROBLEMSWITH INFINITE DIMENSIONAL KERNEL; I. INTRODUCTION; II. AN ABSTRACT EXISTENCE THEOREMFOR THECASE; III. PRELIMINARIES FOR THECASE; IV. AN ABSTRACT THEOREM FOR THECASE; V. TWO APPLICATIONS
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