Difference equations : theory, applications and advanced topics /: theory, applications and advanced topics. (2014)

• Record Type: Book
• Further Information: Note: Ronald E. Mickens.
• Authors: Mickens, Ronald E, 1943-
• Contents: THE DIFFERENCE CALCULUS; GENESIS OF DIFFERENCE EQUATIONS; DEFINITIONS; DERIVATION OF DIFFERENCE EQUATIONS; EXISTENCE AND UNIQUENESS THEOREM; OPERATORS ∆ AND E ; ELEMENTARY DIFFERENCE OPERATORS; FACTORIAL POLYNOMIALS; OPERATOR ∆−1 AND THE SUM CALCULUS FIRST-ORDER DIFFERENCE EQUATIONS; INTRODUCTION; GENERAL LINEAR EQUATION; CONTINUED FRACTIONS; A GENERAL FIRST-ORDER EQUATION: GEOMETRICAL METHODS; A GENERAL FIRST-ORDER EQUATION: EXPANSION TECHNIQUES LINEAR DIFFERENCE EQUATIONS ; INTRODUCTION; LINEARLY INDEPENDENT FUNCTIONS; FUNDAMENTAL THEOREMS FOR HOMOGENEOUS EQUATIONS; INHOMOGENEOUS EQUATIONS; SECOND-ORDER EQUATIONS; STURM–LIOUVILLE DIFFERENCE EQUATIONS LINEAR DIFFERENCE EQUATIONS ; INTRODUCTION; HOMOGENEOUS EQUATIONS; CONSTRUCTION OF A DIFFERENCE EQUATION HAVING SPECIFIED SOLUTIONS; RELATIONSHIP BETWEEN LINEAR DIFFERENCE AND DIFFERENTIAL EQUATIONS; INHOMOGENEOUS EQUATIONS: METHOD OF UNDETERMINED COEFFICIENTS; INHOMOGENEOUS EQUATIONS: OPERATOR METHODS; z-TRANSFORM METHOD; SYSTEMS OF DIFFERENCE EQUATIONS LINEAR PARTIAL DIFFERENCE EQUATIONS ; INTRODUCTION; SYMBOLIC METHODS; LAGRANGE’S AND SEPARATION-OF-VARIABLES METHODS; LAPLACE’S METHOD; PARTICULAR SOLUTIONS; SIMULTANEOUS EQUATIONS WITH CONSTANT COEFFICIENTS NONLINEAR DIFFERENCE EQUATIONS; INTRODUCTION; HOMOGENEOUS EQUATIONS; RICCATI EQUATIONS; CLAIRAUT’S EQUATION; NONLINEAR TRANSFORMATIONS, MISCELLANEOUS FORMS ; PARTIAL DIFFERENCE EQUATIONS APPLICATIONS; INTRODUCTION; MATHEMATICS; PERTURBATION TECHNIQUES; STABILITY OF FIXED POINTS; THE LOGISTIC EQUATION; NUMERICAL INTEGRATION OF DIFFERENTIAL EQUATIONS; PHYSICAL SYSTEMS; ECONOMICS; WARFARE; BIOLOGICAL SCIENCES; SOCIAL SCIENCES; MISCELLANEOUS APPLICATIONS ADVANCED TOPICS; INTRODUCTION; GENERALIZED METHOD OF SEPARATION OF VARIABLES; CAUCHY–EULER EQUATION; GAMMA AND BETA FUNCTIONS; LAMBERT-W FUNCTION; THE SYMBOLIC CALCULUS; MIXED DIFFERENTIAL AND DIFFERENCE EQUATIONS; EULER POLYNOMIALS; FUNCTIONAL EQUATIONS; FUNCTIONAL EQUATION f (x )2 + g (x )2 = 1; EXACT DISCRETIZATIONS OF DIFFERENTIAL EQUATIONS ADVANCED APPLICATIONS; FINITE DIFFERENCE SCHEME FOR THE RELUGA x – y – z MODEL; DISCRETE-TIME FRACTIONAL POWER DAMPED OSCILLATOR; EXACT FINITE DIFFERENCE REPRESENTATION OF THE MICHAELIS–MENTON EQUATION; DISCRETE DUFFING EQUATION; DISCRETE HAMILTONIAN SYSTEMS; ASYMPTOTICS OF SCHRODINGER-TYPE DIFFERENCE EQUATIONS; BLACK–SCHOLES EQUATIONS Appendix: Useful Mathematical Relations Bibliography Index
• Edition: 3rd edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2014
• Extent: 1 online resource, illustrations
• Subjects: 515.625; Difference equations
• Languages: English
• ISBNs: 9781482230796
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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