Introduction: OSD is a growth osteochondrosis affecting the apophyseal cartilage of the anterior tibial tuberosity of the knee, 20 to 30% of young growing athletes suffer from this pathology, described by Osgood and S...Introduction: OSD is a growth osteochondrosis affecting the apophyseal cartilage of the anterior tibial tuberosity of the knee, 20 to 30% of young growing athletes suffer from this pathology, described by Osgood and Schlatter in 1903. Objective: To report 2 observations and review the literature. Observation 1: This was a 14-year-old Guinean teenager, Halpoular, living in Conakry, a right-handed footballer who presented with a painful swelling of the right knee that looked mechanical, whose father had HLA B27 positive ankylosing spondylitis. X-ray of the right knee showed fragmentation of the anterior tibial tuberosities, and ossicle with edema of the patellar tendons at stage 4 according to Ehrenbord and Lagergren (1961). Thus, the disease of OSD is retained, He received 120 mg of diclofenac, 20 mg omeprazole for 1 month and the cessation of sports activity, the evolution was favorably marked by the regression of pain. Observation 2: A 16-year-old girl, initials M.L.T, Guinean, residing in Coyah (Republic of Guinea), a handball player, consulted for intense pain (VAS: 8/10) in her knees after a violent shock received when she hit the post. The physical examination found a painful, soft swelling at the anterior tibial tuberosity of the right knee, the rest of the examination was normal. The X-ray of the right knee shows fragmentation of the anterior tibial tuberosity, and ossicle with edema of the patellar tendon at stage 4 according to Ehrenbord and Lagergren 1961, thus the OSD disease is retained, the treatment instituted was 120 mg of diclofenac, the cessation of sports activity which gives a good evolution (EVA at 2/10). Conclusion: OSD is a growth osteochondrosis affecting the apophyseal cartilage of the anterior tibial tuberosity of the knee in young growing athletes, resolving at rest.展开更多
In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the solution to ...In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the solution to the associated nonlinear two point boundary value problem is established and used as a foundation for the finite element analysis.展开更多
This paper is interested in solving a multidimensional backward stochastic differential equation （BSDE） whose generator satisfies the Osgood condition in y and the Lipschitz condition in z. We establish an existence...This paper is interested in solving a multidimensional backward stochastic differential equation （BSDE） whose generator satisfies the Osgood condition in y and the Lipschitz condition in z. We establish an existence and uniqueness result of solutions for this kind of BSDEs, which generalizes some known results.展开更多
We prove several existence and uniqueness results for Lp （p 〉 1） solutions of reflected BSDEs with continuous barriers and generators satisfying a one-sided Osgood condition together with a general growth condition...We prove several existence and uniqueness results for Lp （p 〉 1） solutions of reflected BSDEs with continuous barriers and generators satisfying a one-sided Osgood condition together with a general growth condition in y and a uniform continuity condition or a linear growth condition in z. A necessary and sufficient condition with respect to the growth of barrier is also explored to ensure the existence of a solution. And, we show that the solutions may be approximated by the penalization method and by some sequences of solutions of reflected BSDEs. These results are obtained due to the development of those existing ideas and methods together with the application of new ideas and techniques, and they unify and improve some known works.展开更多
文摘Introduction: OSD is a growth osteochondrosis affecting the apophyseal cartilage of the anterior tibial tuberosity of the knee, 20 to 30% of young growing athletes suffer from this pathology, described by Osgood and Schlatter in 1903. Objective: To report 2 observations and review the literature. Observation 1: This was a 14-year-old Guinean teenager, Halpoular, living in Conakry, a right-handed footballer who presented with a painful swelling of the right knee that looked mechanical, whose father had HLA B27 positive ankylosing spondylitis. X-ray of the right knee showed fragmentation of the anterior tibial tuberosities, and ossicle with edema of the patellar tendons at stage 4 according to Ehrenbord and Lagergren (1961). Thus, the disease of OSD is retained, He received 120 mg of diclofenac, 20 mg omeprazole for 1 month and the cessation of sports activity, the evolution was favorably marked by the regression of pain. Observation 2: A 16-year-old girl, initials M.L.T, Guinean, residing in Coyah (Republic of Guinea), a handball player, consulted for intense pain (VAS: 8/10) in her knees after a violent shock received when she hit the post. The physical examination found a painful, soft swelling at the anterior tibial tuberosity of the right knee, the rest of the examination was normal. The X-ray of the right knee shows fragmentation of the anterior tibial tuberosity, and ossicle with edema of the patellar tendon at stage 4 according to Ehrenbord and Lagergren 1961, thus the OSD disease is retained, the treatment instituted was 120 mg of diclofenac, the cessation of sports activity which gives a good evolution (EVA at 2/10). Conclusion: OSD is a growth osteochondrosis affecting the apophyseal cartilage of the anterior tibial tuberosity of the knee in young growing athletes, resolving at rest.
文摘In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the solution to the associated nonlinear two point boundary value problem is established and used as a foundation for the finite element analysis.
基金The authors would like to thank the anonymous referees for their careful reading and helpful suggestions. This work was supported in part by the National Natural Science Foundation of China （Grant No. 11101422）, the Fundamental Research Funds for the Central Universities （Grant No. 2012QNA36）, and Qing Lan Project.
文摘This paper is interested in solving a multidimensional backward stochastic differential equation （BSDE） whose generator satisfies the Osgood condition in y and the Lipschitz condition in z. We establish an existence and uniqueness result of solutions for this kind of BSDEs, which generalizes some known results.
基金Supported by National Natural Science Foundation of China(Grant No.11371362)the Fundamental Research Funds for the Central Universities(Grant No.2012QNA36)
文摘We prove several existence and uniqueness results for Lp （p 〉 1） solutions of reflected BSDEs with continuous barriers and generators satisfying a one-sided Osgood condition together with a general growth condition in y and a uniform continuity condition or a linear growth condition in z. A necessary and sufficient condition with respect to the growth of barrier is also explored to ensure the existence of a solution. And, we show that the solutions may be approximated by the penalization method and by some sequences of solutions of reflected BSDEs. These results are obtained due to the development of those existing ideas and methods together with the application of new ideas and techniques, and they unify and improve some known works.
