A mixed problem for the generalized Euler-Poisson-Darboux equation in an exceptional case

1986 ◽  
Vol 40 (1) ◽  
pp. 548-551
Author(s):  
Ho K'ang Cher
2020 ◽  
Vol 4 (1) ◽  
pp. 174-178
Author(s):  
Kaman Mondobozi Lélén ◽  
◽  
Togneme Alowou-Egnim ◽  
Gbenouga N’gniamessan ◽  
Tcharie Kokou ◽  
...  

2019 ◽  
Vol 484 (1) ◽  
pp. 18-20
Author(s):  
A. P. Khromov ◽  
V. V. Kornev

This study follows A.N. Krylov’s recommendations on accelerating the convergence of the Fourier series, to obtain explicit expressions of the classical mixed problem–solution for a non-homogeneous equation and explicit expressions of the generalized solution in the case of arbitrary summable functions q(x), ϕ(x), y(x), f(x, t).


2013 ◽  
Vol 8 (4) ◽  
pp. 287-289 ◽  
Author(s):  
Wala Kridis ◽  
Afef Khanfir ◽  
Faten Triki ◽  
Mounir Frikha

2021 ◽  
Author(s):  
Cristina Toledo-Gotor ◽  
Nerea Gorría ◽  
Miren Oscoz ◽  
Katia Llano ◽  
Pablo la Fuente Rodríguez-de ◽  
...  

Abstract Background Multiple lower cranial nerve palsies have been attributed to occipital condyle fractures in older children and adults, but no clinical details of other possible mechanisms have been described in infants. Case Report A 33-month-old boy suffered blunt head trauma. A bilateral skull base fracture was diagnosed, with favorable outcome during the first days after trauma. On the sixth day, the patient began to refuse drinking and developed hoarseness. Physical examination and additional investigations revealed paralysis of left VII, IX, X, and XI cranial nerves. A follow-up computed tomography (CT) scan disclosed a left petrous bone fracture involving the lateral margin of the jugular foramen, and a cranial magnetic resonance imaging (MRI) study showed a left cerebellar tonsil contusion. He improved after methylprednisolone was started. Three months later, he was asymptomatic, although mild weakness and atrophy of the left sternocleidomastoid and trapezius muscles remained 1 year later. Discussion A posttraumatic “jugular foramen syndrome” is rare in children, but it has been reported shortly after occipital condyle fracture, affecting mainly IX, X, and XI cranial nerves. In this toddler, delayed symptoms appeared with unilateral involvement. While an occipital fracture was ruled out, neuroimaging findings suggest the hypothesis of a focal contusion as a consequence of a coup-contrecoup injury. Conclusion This exceptional case highlights the importance of gathering physical examination, anatomical correlation, and neuroimaging to yield a diagnosis.


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