Existence of unstable manifolds for a certain class of delay differential equations
We prove a theorem for unstable manifolds in a differential equation with a state-dependent delay. Although the equation cannot be formally linearized, we find an associated linear delay equation whose dynamics are qualitatively similar near the unstable
Hari P. Krishnan
doaj
Bogdanov-Takens bifurcation for neutral functional differential equations
In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity.
Jianzhi Cao, Rong Yuan
doaj
Existence and uniqueness of neutral functional differential equations with sequential fractional operators. [PDF]
Debbar R +4 more
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Square integrable solutions and stability of a second-order stochastic integro-differential equation. [PDF]
Oudjedi-Damerdji LF +4 more
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Active Inference and Functional Parametrisation: Differential Flatness and Smooth Random Realisation. [PDF]
Mounier H, Parr T, Friston K.
europepmc +1 more source
Benchmarking Orbital-Free Density-Potential Functional Theory of Electrified Metal-Solution Interfaces. [PDF]
Li C, Wang X, Eikerling M, Huang J.
europepmc +1 more source
Simultaneous Numerical Determination of Two Time-dependent Coefficients in Second Order Parabolic Equation With Nonlocal Initial and Boundary Conditions. [PDF]
A J Al-Shatrah M, Sabah Hussein M.
europepmc +1 more source
A Physics Informed Neural Network (PINN) framework for fractional order modeling of Alzheimer's disease. [PDF]
Mehmood A +5 more
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Implementing physics-informed neural networks with deep learning for differential equations. [PDF]
Emmert-Streib F +3 more
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Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Almetwally EM +5 more
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