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Delay-dependent stability conditions for delay differential equations with unbounded operators in Banach spaces

Electronic Journal of Differential Equations
Michael Gil'
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On the solution of a boundary value problem associated with a fractional differential equation

Mathematical methods in the applied sciences, 2020
The problem of the existence and uniqueness of solutions of boundary value problems (BVPs) for a nonlinear fractional differential equation of order ...
Rezan Sevinik Adıgüzel, Ü. Aksoy, E. Karapınar, I. Erhan   +3 more
semanticscholar   +1 more source

Multivalued Differential Equations and Ordinary Differential Equations

SIAM Journal on Applied Mathematics, 1970
(E) e F(x, t), where F is upper semicontinuous, from known results in the theory of ordinary differential equations. This will be accomplished by showing that, for any F upper semicontinuous and convex, it is always possible to "approximate" the multivalued differential equation (E) by appropriately chosen ordinary differential equations. This would be
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Hill's Differential Equation

The Mathematical Gazette, 1945
1. We deal with the equation where ψ(ωt) is continuous, periodic in t with period 2π/ω a,
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Estimating unknown parameters in uncertain differential equation by maximum likelihood estimation

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2022
Yang Liu, Baoding Liu
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Deep Learning-Based Numerical Methods for High-Dimensional Parabolic Partial Differential Equations and Backward Stochastic Differential Equations

Communications in Mathematics and Statistics, 2017
We study a new algorithm for solving parabolic partial differential equations (PDEs) and backward stochastic differential equations (BSDEs) in high dimension, which is based on an analogy between the BSDE and reinforcement learning with the gradient of ...
Weinan E, Jiequn Han, Arnulf Jentzen
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Linear Differential Equations

1966
Publisher Summary This chapter focuses on higher-order linear equations. Even for second-order linear equations, no general method of solution is available as there was for first-order equations. Formulas for general solutions can be found for certain special classes of higher-order equations.
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Differential equations II

2011
This chapter introduces numerical methods that can be used on problems that are too hard to solve by standard algebra, such as finding roots of complicated equations. It demonstrates numerical methods for solving a first-order ordinary differential equations (ODE) with an initial condition.
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