Results 11 to 20 of about 1,483,911 (151)

The upper–lower solution method for the coupled system of first order nonlinear PDEs

Journal of Mathematical Analysis and Applications, 2013
Abstract This paper is concerned with a coupled system of first order nonlinear partial differential equations. This system is, but not limited in, the extended case of the general blood–tissue exchange model (BTEX). We use the solutions of a coupled system of first order ordinary differential equations to construct a pair of ordered lower and upper ...
Guo-Chin Jau, Yu-Hsien Chang
openaire   +1 more source

Takens-Bogdanov bifurcation of travelling wave solutions in pipe flow [PDF]

, 2010
The appearance of travelling-wave-type solutions in pipe Poiseuille flow that are disconnected from the basic parabolic profile is numerically studied in detail.
B. ECKHARDT, Ehrenstein, F. MELLIBOVSKY, Iooss, Pfenniger, Shan, Wiggins   +6 more
core   +5 more sources

The method of upper, lower solutions and monotone iterative scheme for higher order hyperbolic partial differential equations [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1989
AbstractUniformly monotone convergent iterative methods for obtaining multiple solutions of (n + m)th order hyperbolic partial differential equations together with initial conditions are discussed. Appropriate partial differential inequalities which connect upper and lower solutions, and variation of parameters formula is developed.
openaire   +1 more source

Existence of minimal and maximal solutions to first--order differential equations with state--dependent deviated arguments

, 2011
We prove some new results on existence of solutions to first--order ordinary differential equations with deviating arguments. Delay differential equations are included in our general framework, which even allows deviations to depend on the unknown ...
Figueroa, Rubén, Pouso, Rodrigo López
core   +1 more source

Solving ill-posed bilevel programs [PDF]

, 2016
This paper deals with ill-posed bilevel programs, i.e., problems admitting multiple lower-level solutions for some upper-level parameters. Many publications have been devoted to the standard optimistic case of this problem, where the difficulty is ...
AG Mersha, AG Mersha, B Colson, BS Mordukhovich, BS Mordukhovich, BS Mordukhovich, BS Mordukhovich, BS Mordukhovich, DA Molodtsov, G-H Lin, H Bonnel, HF von Stackelberg, J Fliege, J Jahn, J-P Aubin, JF Bard, JJ Ye, JJ Ye, JJ Ye, JJ Ye, JV Outrata, M Xu, M Červinka, NQ Huy, P Loridan, R Lucchetti, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dias, S Ruuska, SM Robinson, TXD Ha, W Wiesemann   +43 more
core   +1 more source

On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds

, 2013
We consider the Fisher-KPP equation with a non-local interaction term. We establish a condition on the interaction that allows for existence of non-constant periodic solutions, and prove uniform upper bounds for the solutions of the Cauchy problem, as ...
Hamel, Francois, Ryzhik, Lenya
core   +2 more sources

Clinical Insights Into Hypercalcemia of Malignancy in Childhood

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley   +1 more source

Traveling Wave Solutions of a Reaction-Diffusion Equation with State-Dependent Delay [PDF]

, 2014
This paper is concerned with the traveling wave solutions of a reaction-diffusion equation with state-dependent delay. When the birth function is monotone, the existence and nonexistence of monotone traveling wave solutions are established.
Lin, Guo, Wang, Haiyan
core  

Intravitreal GD2‐Specific Chimeric Antigen Receptor T‐Cell Therapy for Refractory Retinoblastoma

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Effective treatments for advanced, treatment‐resistant retinoblastoma (RB) remain limited. GD2‐specific chimeric antigen receptor (CAR) T cells show potent antitumor activity with minimal toxicity but have not previously been evaluated in RB.
Subongkoch Subhadhirasakul, Jatuporn Sujjitjoon, Pa‐thai Yenchitsomanus, Kridtin Jarutatsanangkoon, Ng Wei Loon, Kleebsabai Sanpakit, Jassada Buaboonnam, Chayamon Takpradit, Pornpimon Yuti, Nunghathai Sawasdee, Piriya Luangwattananun, Siripakorn Sangkitporn, Arnan Limmahachai, La‐ongsri Atchaneeyasakul   +13 more
wiley   +1 more source

Pulmonary Dysfunction Is Associated With Sleep Study Abnormalities in Children With Sickle Cell Disease: A Multicenter Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Pulmonary dysfunction and sleep abnormalities are common in children with sickle cell disease (SCD) and are associated with worse clinical outcomes. Whether spirometry abnormalities are associated with polysomnography (PSG) findings remains unclear.
Ammar Saadoon Alishlash, Anis Rabbani Nourani, A. K. M. Fazlur Rahman, Dima Ezmigna, Tarig Ali‐Dinar   +4 more
wiley   +1 more source