Partial Differential Equations and Function Spaces by Shijun Zheng, Simone Secchi, Huoxiong Wu, Nguyen Cong Phuc

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Nonlinear Partial Differential Equations in Mathematics and Physics by Bo-Qing Dong, Caidi Zhao, Xiaohong Qin, Linghai Zhang, Liangpan Li

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Partial differential equations with piecewise constant delay by Joseph Wiener, Lokenath Debnath

Subjects: “…partial differential equation…”
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Recent Development in Partial Differential Equations and Their Applications by Hossein Jafari, Chaudry M. Khalique, Dumitru Baleanu

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Asymptotic solution of the high order partial differential equation by Hoang Van Da, Tran Dinh Son, Nguyen Duc Tinh

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Oscillation for Certain Nonlinear Neutral Partial Differential Equations by Quanwen Lin, Rongkun Zhuang

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Quantum Circuits for partial differential equations via Schrödingerisation by Junpeng Hu, Shi Jin, Nana Liu, Lei Zhang

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Analytical reduction of a system of partial differential equations by Donatas Jurgaitis

“… A system of four of the first order partial differential equations is transformed into the system, which has blocked diagonal matrix. …”
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Stability of Partial Differential Equations by Mahgoub Transform Method by Harun Biçer

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Convergence Analysis of an Iterative Method for Nonlinear Partial Differential Equations by Hung-Yu Ke, Ren-Chuen Chen, Chun-Hsien Li

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He-Laplace Method for Linear and Nonlinear Partial Differential Equations by Hradyesh Kumar Mishra, Atulya K. Nagar

“…The method is implemented on linear and nonlinear partial differential equations. It is found that the proposed scheme provides the solution without any discretization or restrictive assumptions and avoids the round-off errors.…”
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ON INFINITE SERIES OF NONLOCAL CONSERVATION LAWS FOR PARTIAL DIFFERENTIAL EQUATIONS by N. G. Khor’kova

Subjects: “…systems of partial differential equations…”
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PICL: Physics informed contrastive learning for partial differential equations by Cooper Lorsung, Amir Barati Farimani

“…Neural operators have recently grown in popularity as Partial Differential Equation (PDE) surrogate models. Learning solution functionals, rather than functions, has proven to be a powerful approach to calculate fast, accurate solutions to complex PDEs. …”
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Machine learning and partial differential equations: benchmark, simplify, and discover by Petros Koumoutsakos

“…Many of these simulations are based on models expressed as Partial Differential Equations (PDEs). PDEs are invaluable inductive inference engines, as their solutions generalize beyond the particular problems they describe. …”
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On the stability of the third order partial differential equation with time delay by A. Ashyralyev, S. Ibrahim, E. Hincal

Subjects: “…third order partial differential equations…”
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On Complex Singularity Analysis for Some Linear Partial Differential Equations in by A. Lastra, S. Malek, C. Stenger

“…We investigate the existence of local holomorphic solutions Y of linear partial differential equations in three complex variables whose coefficients are holomorphic on some polydisc in outside some singular set . …”
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Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay by Jing Cui, Litan Yan, Xichao Sun

“…We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. …”
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Growth estimates of solutions to fractional hybrid partial differential equations by McSylvester Ejighikeme Omaba

“…Partial Differential Equations in Applied Mathematics…”
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Optical neural engine for solving scientific partial differential equations by Yingheng Tang, Ruiyang Chen, Minhan Lou, Jichao Fan, Cunxi Yu, Andrew Nonaka, Zhi Yao, Weilu Gao

“…Abstract Solving partial differential equations (PDEs) is the cornerstone of scientific research and development. …”
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Positive Solutions of a Nonlinear Parabolic Partial Differential Equation by Chengbo Zhai, Shunyong Li

“…We deal with the existence and uniqueness of positive solutions to a class of nonlinear parabolic partial differential equations, by using some fixed point theorems for mixed monotone operators with perturbation.…”
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