Integral and discrete inequalities and their applications [electronic resource] : volume II: nonlinear inequalities /
Qin, Yuming.author.
This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author's book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations. The present volume is part 2 of the author's two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.
Includes bibliographical references and index.
Preface -- Nonlinear One-Dimensional Continuous Integral Inequalities -- Nonlinear One-Dimensional Discrete (Difference) Inequalities -- Nonlinear One-Dimensional Discontinuous Integral Inequalities -- Applications of Nonlinear One-Dimensional Continuous, Discontinuous Integral Inequalities and Discrete Inequalities -- Nonlinear Multi-Dimensional Continuous Integral Inequalities -- Nonlinear Multi-Dimensional Discrete (Difference) Inequalities -- Nonlinear Multi-Dimensional Discontinuous Inequalities -- Applications of Nonlinear Multi-Dimensional Continuous, Discontinuous Integral Inequalities and Discrete Inequalities.
This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author's book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations. The present volume is part 2 of the author's two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.
Functions of real variables.
Differential equations.
Partial differential equations.
Integral equations.
Difference equations.
Functional equations.
Real Functions.
Ordinary Differential Equations.
Partial Differential Equations.
Integral Equations.
Difference and Functional Equations.