Abstract In the present work, firstly, we use a minimax equality to prove existence of solution certain system varitional equations providing numerical approximation such solution. Then, propose method solve collage-type inverse problem associated with corresponding system, and illustrate behaviour example.

This paper describes the systematic studies of nuclear astrophysical reactions for lithium isotopes using the unstable ion beam facility GIRAFFE in CIAE. We have measured the angular distributions of some single nucleon transfer reactions, such as 8Li(d,p)9Li, 8Li(d,n)9Be and 8Li(p,d)7Li in inverse kinematics, and derived the astrophysical S-factors or reaction rates for 8Li(n,γ)9Li and 8Li(p,γ...

The boundary feedforward control problem for a class of distributedparameter port-Hamiltonian systems in one spatial dimension is addressed. The considered hyperbolic systems of two conservation laws (with dissipation) are discretized in the spatial coordinate using an energy-based, structure preserving discretization scheme. The resulting finite-dimensional approximate state representation has...

The EXL experiment as a part of future FAIR facility [1] will provide the means for studying many physics phenomena in unstable exotic nuclei. Reactions will be done in inverse kinematics using new storage-ring techniques and a universal detector system providing high resolution and large solid angle coverage for kinematically complete measurements. Our work focuses on prototyping and testing D...

An inverse nodal problem has first been studied for the Sturm-Liouville equation with one turning point. The asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated and an asymptotic of the nodal points is obtained. For this problem, we give a reconstruction formula for the potential function. Furthermore, numerical examples have been established a...