Results 41 to 50 of about 82,878 (275)

Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials

, 2009
A geometric approach is used to study a family of higher-order nonlinear Abel equations. The inverse problem of the Lagrangian dynamics is studied in the particular case of the second-order Abel equation and the existence of two alternative Lagrangian ...
Abraham R, Boyko V M, Boyko V M, Briskin M, Cariñena J F, Crampin M, Crampin M, Damianou P A, Darboux G, Darboux G, Darboux G, Davis H T, Erbe L, Fernandes R L, Francoise J P, Grundland A M, José F Cariñena, Lopuszanski J, López C, Manuel F Rañada, Murphy G M, Nucci M C, Partha Guha, Polyanin A D, Sarlet W, Sarlet W, Zwillinger D   +26 more
core   +1 more source

Cell surface interactome analysis identifies TSPAN4 as a negative regulator of PD‐L1 in melanoma

Molecular Oncology, EarlyView.
Using cell surface proximity biotinylation, we identified tetraspanin TSPAN4 within the PD‐L1 interactome of melanoma cells. TSPAN4 negatively regulates PD‐L1 expression and lateral mobility by limiting its interaction with CMTM6 and promoting PD‐L1 degradation.
Guus A. Franken, Andrea Abel Gutierrez, Imke van Rossum, Cornelia G. Spruijt, Michiel Vermeulen, Guido van Mierlo, Blanca Scheijen, Annemiek B. van Spriel   +7 more
wiley   +1 more source

Polynomial Solutions of Equivariant Polynomial Abel Differential Equations

Advanced Nonlinear Studies, 2018
Let a⁢(x){a(x)} be non-constant and let bj⁢(x){b_{j}(x)}, for j=0,1,2,3{j=0,1,2,3}, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a⁢(x)⁢y˙=b1⁢(x)⁢y+b3⁢(x)⁢y3{a(x)\dot{y}=b_{1}(
Llibre Jaume, Valls Clàudia
doaj   +1 more source

Nonlocal symmetries of Riccati and Abel chains and their similarity reductions

, 2012
We study nonlocal symmetries and their similarity reductions of Riccati and Abel chains. Our results show that all the equations in Riccati chain share the same form of nonlocal symmetry.
Bluman G. W., Davis H. T., Ince E. L., M. L. Gandarias, M. S. Bruzon, M. Senthilvelan   +5 more
core   +1 more source

Serum Bile Acids Are Useful Indicators of Intrahepatic Recurrence After Initial Curative Hepatectomy for Hepatocellular Carcinoma

Annals of Gastroenterological Surgery, EarlyView.
ABSTRACT Aim Bile acids accumulation in hepatocytes causes liver damage and contributes to the development of hepatocellular carcinoma. However, the association between serum bile acid levels and postoperative intrahepatic recurrence in hepatocellular carcinoma remains unclear.
Tomoaki Bekki, Masahiro Ohira, Yuki Imaoka, Seiichi Simizu, Tomoyuki Abe, Shintaro Kuroda, Hiroyuki Tahara, Kentaro Ide, Tsuyoshi Kobayashi, Hideki Ohdan   +9 more
wiley   +1 more source

Almost periodic solutions for Abel equations

International Journal of Mathematics and Mathematical Sciences, 1997
Using the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic ...
Zeng Weiyao, Shi Jinlin, Lin Zhensheng, Lokenath Debnath   +3 more
doaj   +1 more source

Exact traveling wave solutions of fast reaction–diffusion–convectionequations based on the Lambert function W

Partial Differential Equations in Applied Mathematics, 2020
A particular function defined in terms of the Lambert function W is shown to serve as the basis for exact traveling wave solutions to several reaction–diffusion–convection​ (RDC) equations involving rational, non-linear diffusion terms. These represent a
Brian Wesley Williams
doaj   +1 more source

On Solvability of the Sonin–Abel Equation in the Weighted Lebesgue Space

Fractal and Fractional, 2021
In this paper we present a method of studying a convolution operator under the Sonin conditions imposed on the kernel. The particular case of the Sonin kernel is a kernel of the fractional integral Riemman–Liouville operator, other various types of the ...
Maksim V. Kukushkin
doaj   +1 more source

U(1)-invariant membranes: the geometric formulation, Abel and pendulum differential equations

, 2010
The geometric approach to study the dynamics of U(1)-invariant membranes is developed. The approach reveals an important role of the Abel nonlinear differential equation of the first type with variable coefficients depending on time and one of the ...
A. A. Zheltukhin, Desgupta A., Desgupta A., Duff M. J., Eisenhart L. P., M. Trzetrzelewski, Saaty T. L., Semenov-Tian-Shanskii M. A., Townsend P. K., Zheltukhin A. A., Zheltukhin A. A., Zheltukhin A. A.   +11 more
core   +1 more source

Babenko’s Approach to Abel’s Integral Equations [PDF]

Mathematics, 2018
The goal of this paper is to investigate the following Abel’s integral equation of the second kind: y ( t ) + λ Γ ( α ) ∫ 0 t ( t − τ ) α − 1 y ( τ ) d τ = f ( t ) , ( t > 0 ) and its variants by fractional calculus. Applying Babenko’s approach and fractional integrals, we provide a general method for solving Abel’s ...
Chenkuan Li, Kyle Clarkson
openaire   +3 more sources