Differential Equations
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...
Збережено в:
| Формат: | Online |
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| Мова: | Англійська |
| Опубліковано: |
IntechOpen
2023
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| Предмети: | |
| Онлайн доступ: | ONIX_20231201_9781789231571_1255 |
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| _version_ | 1869515051656806400 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-130146 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | IntechOpen |
| publisherStr | IntechOpen |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1301462024-04-04T14:41:08Z Differential Equations Moschandreou, Terry E. fixed point, boundary value problem, fractional differential equations, boundary condition, dynamic systems thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKA Calculus 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. 2023-12-01T16:55:44Z 2023-12-01T16:55:44Z 2018 book ONIX_20231201_9781789231571_1255 9781789231571 9781789231564 9781838816070 https://directory.doabooks.org/handle/20.500.12854/130146 eng image/jpeg n/a https://www.intechopen.com/books/6637 https://mts.intechopen.com/storage/books/6637/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/intechopen.71745 10.5772/intechopen.71745 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9781789231571 9781789231564 9781838816070 IntechOpen 182 open access |
| spellingShingle | fixed point, boundary value problem, fractional differential equations, boundary condition, dynamic systems thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKA Calculus Differential Equations |
| title | Differential Equations |
| title_full | Differential Equations |
| title_fullStr | Differential Equations |
| title_full_unstemmed | Differential Equations |
| title_short | Differential Equations |
| title_sort | differential equations |
| topic | fixed point, boundary value problem, fractional differential equations, boundary condition, dynamic systems thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKA Calculus |
| topic_facet | fixed point, boundary value problem, fractional differential equations, boundary condition, dynamic systems thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKA Calculus |
| url | ONIX_20231201_9781789231571_1255 |