Boundary Value Problems for Second-Order Finite Difference Equations and Systems

By: Johnny Henderson, Rodica Luca

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Hardcover | 17 November 2025 | Edition Number 2

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Hardcover
192 Pages

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24.41 x 16.99 x 1.27

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The mathematical modeling of many problems from economics, computer science, engineering, biological neural networks and others leads to the consideration of nonlinear difference equations. Many authors have studied such problems by using various methods, such as: the fixed point theory, the fixed point index theory, variational methods, the critical point theory, different transformations, extensions of Perron's second theorem, diversified criteria for the stability of solutions, and so on. This monograph studies the existence of positive solutions for some classes of second-order nonlinear finite difference equations, and systems of second-order nonlinear finite difference equations, subject to various multi-point boundary conditions. In the case of systems, these boundary conditions may be uncoupled or coupled. It also investigates a class of nonlinear

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