TY - CHAP
A1 - Piyachat Borisut
A2 - Konrawut Khammahawong
A3 - Poom Kumam
ED1 - Terry E. Moschandreou
Y1 - 2018-05-23
PY - 2018
T1 - Fixed Point Theory Approach to Existence of Solutions with Differential Equations
N2 - The editor has incorporated contributions from a diverse group of leading researchers in the field of differential equations. This book aims to provide an overview of the current knowledge in the field of differential equations. The main subject areas are divided into general theory and applications. These include fixed point approach to solution existence of differential equations, existence theory of differential equations of arbitrary order, topological methods in the theory of ordinary differential equations, impulsive fractional differential equations with finite delay and integral boundary conditions, an extension of Massera's theorem for n-dimensional stochastic differential equations, phase portraits of cubic dynamic systems in a Poincare circle, differential equations arising from the three-variable Hermite polynomials and computation of their zeros and reproducing kernel method for differential equations. Applications include local discontinuous Galerkin method for nonlinear Ginzburg-Landau equation, general function method in transport boundary value problems of theory of elasticity and solution of nonlinear partial differential equations by new Laplace variational iteration method. Existence/uniqueness theory of differential equations is presented in this book with applications that will be of benefit to mathematicians, applied mathematicians and researchers in the field. The book is written primarily for those who have some knowledge of differential equations and mathematical analysis. The authors of each section bring a strong emphasis on theoretical foundations to the book.
BT - Differential Equations
SP - Ch. 1
UR - https://doi.org/10.5772/intechopen.74560
DO - 10.5772/intechopen.74560
SN - 978-1-78923-157-1
PB - IntechOpen
CY - Rijeka
Y2 - 2022-05-21
ER -