‎Using Nehari manifold methods and Mountain pass theorem‎, ‎the existence of nontrivial and radially symmetric solutions for a class of $p$-Kirchhoff-type system are established.

The problem of representation and analysis of manifold defined functions (signals, images, and data in general) is ubiquities in neuroscience, medical and biological applications. In the context of modeling the computations of the cortex, some twenty years ago, Mumford noted: “... the set of higher level concepts will automatically have geometric structure”. Indeed, in Vision input images can b...

a class of kirchhoff type systems with nonlinear boundary conditions considered in this paper. by using the method of nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameters are small enough.

A dynamic reduced order model using integral manifold theory has been derived, which can be used to simulate the DOIG wind turbine using a double-winding representation of the generator rotor. The model is suitable for use in transient stability programs that can be used to investigate large power systems. The behavior of a wind farm and the network under various system disturbances was stu...