Differential Equations and Inverse Problems
The present reprint contains 12 articles that have been accepted and published in the Special Issue “Differential Equations and Inverse Problems” in MDPI’s Axioms journal. The articles cover a wide range of topics with respect to the theory and applications of differential equations and inverse prob...
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| Format: | Online |
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| Language: | English |
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MDPI - Multidisciplinary Digital Publishing Institute
2025
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| Online Access: | ONIX_20250812T095121_9783725830671_34 |
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| description | The present reprint contains 12 articles that have been accepted and published in the Special Issue “Differential Equations and Inverse Problems” in MDPI’s Axioms journal. The articles cover a wide range of topics with respect to the theory and applications of differential equations and inverse problems. The key topics covered in this Special Issue include impulsive delay differential equations, fractional differential equations, the Rayleigh–Stokes equation with a fractional derivative, the Monge–Ampère equation, one-dimensional heat conduction, dynamic complex matrix inversion, collocation methods, the Runge–Kutta method, the Tikhonov regularization method, convolution neural networks, supervised contrastive learning, zeroing neural networks, etc. Differential equations and inverse problems have become a rapidly growing topic because of the new techniques developed recently and the amazing achievements in computational sciences. With the progress of science and technology, differential equations and inverse problems have quickly developed, and new waves have been successively set off in a broad range of disciplines, such as mathematics, physics, engineering, business, economics, earth science, biology, etc. We hope that the reprint will be interesting and useful for those working in the areas of differential equations, inverse problems, and artificial intelligence, in addition to those who have a mathematical background and want to familiarize themselves with recent advances in differential equations and inverse problems, which have been widely applied in many fields of science and engineering. |
| format | Online |
| id | doab-20.500.12854ir-165085 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1650852025-08-12T08:00:15Z Differential Equations and Inverse Problems Liu, Tao Ma, Qiang Liu, Songshu impulsive delay differential equations collocation methods convergence superconvergence one-dimensional heat conduction Laplace transform general theoretical solution common function inflection point method curve fitting method fractional differential equation sign-changing periodic boundary condition fixed-point theorem array signal processing convolution neural network direction-of-arrival estimation feature learning supervised contrastive learning Sinc collocation method WSGD operator fractional partial integro-differential equation Runge–Kutta method BNf-stable implicit Euler method Lobatto IIIC method Rayleigh–Stokes equation with a fractional derivative backward problem Tikhonov regularization method convergence estimate fixed point theorem Monge–Ampère equations boundary value problem numerical scheme pure jumps Markovian switching Malliavin calculus outer inverse generalized inverse Banach space Newton-type method Hilbert space dynamic complex matrix inversion zeroing neural network linear noise activation function residual fluctuations time-varyingmartix inversion (TVMI) zeroing neural network (ZNN) anti-noise property varying parameters double integral thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries The present reprint contains 12 articles that have been accepted and published in the Special Issue “Differential Equations and Inverse Problems” in MDPI’s Axioms journal. The articles cover a wide range of topics with respect to the theory and applications of differential equations and inverse problems. The key topics covered in this Special Issue include impulsive delay differential equations, fractional differential equations, the Rayleigh–Stokes equation with a fractional derivative, the Monge–Ampère equation, one-dimensional heat conduction, dynamic complex matrix inversion, collocation methods, the Runge–Kutta method, the Tikhonov regularization method, convolution neural networks, supervised contrastive learning, zeroing neural networks, etc. Differential equations and inverse problems have become a rapidly growing topic because of the new techniques developed recently and the amazing achievements in computational sciences. With the progress of science and technology, differential equations and inverse problems have quickly developed, and new waves have been successively set off in a broad range of disciplines, such as mathematics, physics, engineering, business, economics, earth science, biology, etc. We hope that the reprint will be interesting and useful for those working in the areas of differential equations, inverse problems, and artificial intelligence, in addition to those who have a mathematical background and want to familiarize themselves with recent advances in differential equations and inverse problems, which have been widely applied in many fields of science and engineering. 2025-08-12T08:00:13Z 2025-08-12T08:00:13Z 2025 book ONIX_20250812T095121_9783725830671_34 9783725830671 9783725830688 https://directory.doabooks.org/handle/20.500.12854/165085 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/10510 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-3068-8 10.3390/books978-3-7258-3068-8 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725830671 9783725830688 202 open access |
| spellingShingle | impulsive delay differential equations collocation methods convergence superconvergence one-dimensional heat conduction Laplace transform general theoretical solution common function inflection point method curve fitting method fractional differential equation sign-changing periodic boundary condition fixed-point theorem array signal processing convolution neural network direction-of-arrival estimation feature learning supervised contrastive learning Sinc collocation method WSGD operator fractional partial integro-differential equation Runge–Kutta method BNf-stable implicit Euler method Lobatto IIIC method Rayleigh–Stokes equation with a fractional derivative backward problem Tikhonov regularization method convergence estimate fixed point theorem Monge–Ampère equations boundary value problem numerical scheme pure jumps Markovian switching Malliavin calculus outer inverse generalized inverse Banach space Newton-type method Hilbert space dynamic complex matrix inversion zeroing neural network linear noise activation function residual fluctuations time-varyingmartix inversion (TVMI) zeroing neural network (ZNN) anti-noise property varying parameters double integral thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries Differential Equations and Inverse Problems |
| title | Differential Equations and Inverse Problems |
| title_full | Differential Equations and Inverse Problems |
| title_fullStr | Differential Equations and Inverse Problems |
| title_full_unstemmed | Differential Equations and Inverse Problems |
| title_short | Differential Equations and Inverse Problems |
| title_sort | differential equations and inverse problems |
| topic | impulsive delay differential equations collocation methods convergence superconvergence one-dimensional heat conduction Laplace transform general theoretical solution common function inflection point method curve fitting method fractional differential equation sign-changing periodic boundary condition fixed-point theorem array signal processing convolution neural network direction-of-arrival estimation feature learning supervised contrastive learning Sinc collocation method WSGD operator fractional partial integro-differential equation Runge–Kutta method BNf-stable implicit Euler method Lobatto IIIC method Rayleigh–Stokes equation with a fractional derivative backward problem Tikhonov regularization method convergence estimate fixed point theorem Monge–Ampère equations boundary value problem numerical scheme pure jumps Markovian switching Malliavin calculus outer inverse generalized inverse Banach space Newton-type method Hilbert space dynamic complex matrix inversion zeroing neural network linear noise activation function residual fluctuations time-varyingmartix inversion (TVMI) zeroing neural network (ZNN) anti-noise property varying parameters double integral thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries |
| topic_facet | impulsive delay differential equations collocation methods convergence superconvergence one-dimensional heat conduction Laplace transform general theoretical solution common function inflection point method curve fitting method fractional differential equation sign-changing periodic boundary condition fixed-point theorem array signal processing convolution neural network direction-of-arrival estimation feature learning supervised contrastive learning Sinc collocation method WSGD operator fractional partial integro-differential equation Runge–Kutta method BNf-stable implicit Euler method Lobatto IIIC method Rayleigh–Stokes equation with a fractional derivative backward problem Tikhonov regularization method convergence estimate fixed point theorem Monge–Ampère equations boundary value problem numerical scheme pure jumps Markovian switching Malliavin calculus outer inverse generalized inverse Banach space Newton-type method Hilbert space dynamic complex matrix inversion zeroing neural network linear noise activation function residual fluctuations time-varyingmartix inversion (TVMI) zeroing neural network (ZNN) anti-noise property varying parameters double integral thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries |
| url | ONIX_20250812T095121_9783725830671_34 |