Pseudo-differential operators have emerged as pivotal tools in modern analysis, generalising classical differential operators to encapsulate non-local behaviour via their symbol calculus. Their ...
We prove the existence of inertial manifolds for partial functional differential equation du(t)dt+Au(t)=F(t)ut+g(t,ut) under the conditions that the partial differential operator 𝐴 is positive such ...
With the exponential growth in demand for high-speed data transmission, the 5G system infrastructure, despite its impressive peak data rate of 10 gigabits per second, is increasingly inadequate for ...
In this paper, we derive a trace formula for self adjoint fourth order differential operator with bounded operator coefficient in the separable Banach space. Compared with the regularized trace ...
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