Results 51 to 60 of about 6,715,931 (355)

Integral representation of solutions to Fuchsian system and Heun's equation

, 2007
We obtain integral representations of solutions to special cases of the Fuchsian system of differential equations and Heun's differential equation. In particular, we calculate the monodromy of solutions to the Fuchsian equation that corresponds to Picard'
Belokolos, Boalch, Borcea, Dettweiler, Dettweiler, Filipuk, Gesztesy, Kouichi Takemura, Manin, Okamoto, Smirnov, Takasaki, Takemura, Takemura, Takemura, Takemura, Takemura, Takemura, Takemura, Treibich   +19 more
core   +1 more source

Riccati Differential Equation for Hypergeometric Differential Equation

Rendiconti del Seminario Matematico della Università di Padova, 2012
In this paper, we study the solutions of Riccati differential equation corresponding to p -adic differential equations which are solvable on the generic disc.
openaire   +2 more sources

Nutritional and Behavioral Intervention for Long‐Term Childhood Acute Leukemia Survivors With Metabolic Syndrome

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Metabolic syndrome (MetS) is a common complication in survivors of childhood acute lymphoblastic and myeloid leukemia (AL), and a major risk factor for premature cardiovascular disease, type‐2‐diabetes, and metabolic dysfunction‐associated steatotic liver disease (MASLD).
Visentin Sandrine, Béliard Sophie, Renard Cécile, Caussy Cyrielle, Hamidou Zeinab, Romano David, Gacem Mélanie, Petit Arnaud, Saultier Paul, Borentain Patrick, Michel Gérard   +10 more
wiley   +1 more source

On the fractional Allee logistic equation in the Caputo sense

Examples and Counterexamples, 2023
In the framework of population models, logistic growth and fractional logistic growth has been analyzed. In some situations the so-called Allee effect gives more accurate approximation.
I. Area, Juan J. Nieto
doaj   +1 more source

Front motion for phase transitions in systems with memory

, 2000
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici, Alexander I. Domoshnitsky, Alexander Nepomnyashchy, Binder, Caginalp, Caginalp, Caginalp, Caginalp, Cahn, Fife, Horacio G. Rotstein, Jäckle, Jäckle, Jäckle, Jäckle, Neu, Rotstein, Rubinstein   +17 more
core   +1 more source

Multifactor uncertain differential equation

, 2015
This paper proposes a type of multifactor uncertain differential equation within the framework of uncertainty theory. The analytic solutions of four special types of multifactor uncertain differential equations are first discussed.
Shengguo Li, Jin Peng, Bo Zhang
semanticscholar   +1 more source

Nonoscillatory functional-differential equations [PDF]

Pacific Journal of Mathematics, 1984
Our aim in this paper is to obtain sufficient conditions under which certain functional differential equations have a " large" number of nonoscillatory solutions. Using the characteristic equation of a "majorant" delay differential equation with constant coefficients and Schauder's fixed point theorem, we obtain conditions under which the functional ...
Ladas, G., Sficas, Y. G., Stavroulakis, I. P.   +2 more
openaire   +4 more sources

Survival for Children Diagnosed With Wilms Tumour (2012–2022) Registered in the UK and Ireland Improving Population Outcomes for Renal Tumours of Childhood (IMPORT) Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The Improving Population Outcomes for Renal Tumours of childhood (IMPORT) is a prospective clinical observational study capturing detailed demographic and outcome data on children and young people diagnosed with renal tumours in the United Kingdom and the Republic of Ireland.
Naomi Ssenyonga, Angela Lopez‐Cortes, Reem Al‐Saadi, Suzanne Tugnait, Kristina Dzhuma, Catriona Duncan, Gordan Vujanic, Tanzina Chowdhury, Claudia Allemani, Michel P. Coleman, Kathy Pritchard‐Jones, the Children's Cancer and Leukaemia Group (CCLG) Renal Tumour Special Interest Group, Hugh Bishop, Anthony McCarthy, Pamela Kearns, Helen Rees, Amos Burke, Meriel Jenney, Jane Pears, Hamish Wallace, Milind Ronghe, Tanzina Chowdhury, Susan Picton, Emma Ross, Lisa Howell, Bernadette Brennan, Gail Halliday, Richard Grundy, Shaun Wilson, Sucheta Vaidya, Daniel Yeomanson, Jessica Bate, Vesna Pavasovic, Jessica Bate, Sabine Irtan, Jesper Brok, Minou Oostveen, Kristina Dzhuma, Mark Weeks, Richard Williams, Mark Powis, Max Pachl, Bruce Okoye, Naima Smeulders, Gordan Vujanic, Oystein Olsen, Tom Watson, Susan Shelmerdine, Dan Saunders, Angela Lopez-Cortes, Taryn Treger, Tom Jackson, Suzanne Tugnait, Lisa Howell, Tanzina Chowdhury, Sam Behjati, Angela Polanco   +56 more
wiley   +1 more source

Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms

, 2015
We consider solvability of the generalized reaction-diffusion equation with both space- and time-dependent diffusion and reaction terms by means of the similarity method.
Ho, C. -L., Lee, C. -C.
core   +1 more source

Cerebrospinal Fluid Liquid Biopsy Enables Targeted Therapy Without Tissue Diagnosis in Pediatric Low‐Grade Gliomas With BRAF V600E Mutation

Pediatric Blood &Cancer, EarlyView.
ABSTRACT We present two pediatric cases of pediatric low‐grade gliomas (PLGG) with BRAF V600E mutations diagnosed and monitored using cerebrospinal fluid (CSF) liquid biopsy analyzed via digital droplet PCR (ddPCR), without tissue biopsy. Both patients were treated with dabrafenib and trametinib and monitored through clinical assessments, magnetic ...
Hannah Sultan, Damien Faury, Alexander G. Weil, Harrison J. Westwick, Nada Jabado, Sébastien Perreault   +5 more
wiley   +1 more source