Differential Equations and Applications, Volume 5

Front Cover
Nova Publishers, May 1, 2007 - Mathematics - 165 pages
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Preface; Existence for set Differential Equations via Multivalued Operator Equations; Nonlocal Cauchy Problem for Abstract Functional Integrodifferential Equations; Existence Results for Discontinuous Functional Evolution Equations in Abstract Spaces; A Generalised Solution of the Black-Scholes Partial Differential Equation; Optimality and Duality for Multiobjective Fractional Programming with Generalised Invexity; Markovian Approach to the Backward Recurrence Time; A Multiplicity Result of Singular Boundary Value Problems for Second Order Impulsive Differential Equations; Extremal Solutions of Initial Value Problem for Non-linear Second Order Impulsive Integro-Differential Equations of Volterra Type in Banach Spaces; Construction of Upper and Lower Solutions for Singular p-Laplacian Equations with Sign Changing Nonlinearities; A Qualitative Hamiltonian Model for Human Motion; ; Newton's Method for Matrix Polynomials; Admissibility and Non-Uniform Dichotomy for Differential Systems; Boundary Value Problems of Fuzzy Differential Equations on an Infinite Interval; An Ultimate Boundedness Result for a Certain System of Fourth Order Non-linear Differential Equations; The Initial Value Problems for the First Order System of Non-linear Impulsive Integro-Differential Equations; Generic Well-Posedness of Nonconvex Optimal Control Problems; Index.
 

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Contents

EXISTENCE FOR SET DIFFERENTIAL EQUATIONS VIA MULTIVALUED OPERATOR EQUATIONS
1
NONLOCAL CAUCHY PROBLEM FOR ABSTRACT FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS
7
EXISTENCE RESULTS FOR DISCONTINUOUS FUNCTIONAL EVOLUTION EQUATIONS IN ABSTRACT SPACES
17
A GENERALIZED SOLUTION OF THE BLACKSCHOLES PARTIAL DIFFERENTIAL EQUATION
29
OPTIMALITY AND DUALITY FOR MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH GENERALIZED INVEXITY
39
MARKOVIAN APPROACH TO THE BACKWARD RECURRENCE TIME
47
BOUNDARY VALUE PROBLEMS FOR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS
51
EXTREMAL SOLUTIONS OF INITIAL VALUE PROBLEM FOR NONLINEAR SECOND ORDER IMPULSIVE INTEGRODIFFERENTIAL EQUA...
65
A QUALITATIVE HAMILTONIAN MODEL FOR HUMAN MOTION
99
NEWTONS METHOD FOR MATRIX POLYNOMIALS
107
ADMISSIBILITY AND NONUNIFORM DICHOTOMY FOR DIFFERENTIAL SYSTEMS
113
BOUNDARY VALUE PROBLEMS OF FUZZY DIFFERENTIAL EQUATIONS ON AN INFINITE INTERVAL
121
AN ULTIMATE BOUNDEDNESS RESULT FOR A CERTAIN SYSTEM OF FOURTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS
127
ORDER SYSTEM OF NONLINEAR IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
137
GENERIC WELLPOSEDNESS OF NONCONVEX OPTIMAL CONTROL PROBLEMS
149
INDEX
163

CONSTRUCTION OF UPPER AND LOWER SOLUTIONS FOR SINGULAR pLAPLACIAN EQUATIONS WITH SIGN CHANGING NONLINEAR...
81

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