Results 41 to 50 of about 725,779 (280)

Effect of blood perfusion on thermal therapy in multilayer skin by semigroups approach [PDF]

Journal of Mahani Mathematical Research
A semi-analytical solution is proposed for the bioheat equation, which includes the epidermis, dermis, and hypodermis layers in the presence of a surface pulsed heat source.
Ghasem Abbasi, Soheila Khishtandar
doaj   +1 more source

Correspondence between geometrical and differential definitions of the sine and cosine functions and connection with kinematics

, 2011
In classical physics, the familiar sine and cosine functions appear in two forms: (1) geometrical, in the treatment of vectors such as forces and velocities, and (2) differential, as solutions of oscillation and wave equations. These two forms correspond
Brenner J. L., Crathorne A. R., Howard R., Jones H. W., Kim J.-H., Leff H. S., Ninio F., Patera R. D., Roe J., Vance E. P., Wallen L. J., Wedemeyer B., Zebrowski E.   +12 more
core   +1 more source

ABSTRACT VARIABLE DOMAIN HYPERBOLIC DIFFERENTIAL EQUATIONS

Demonstratio Mathematica, 2004
Summary: An abstract problem is studied for a class of linear hyperbolic differential equations with variable domain and non-local boundary conditions. Existence and uniqueness of the strong solution are proved.
openaire   +2 more sources

Intraoperative Collection of Ascitic Fluid With Intra‐ or Postoperative Reinfusion in Ovarian Cancer: Safety and Feasibility of a Roller Pumping Method

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Patients with ovarian cancer often present with massive ascites, leading to significant protein loss during surgical procedures. Although cell‐free concentrated ascites reinfusion therapy (CART) is used in palliative settings to mitigate protein loss, its application in intraoperative settings remains unexplored.
Yutaka Yoneoka, Tsukuru Amano, Akimasa Takahashi, Mari Deguchi, Hiroyuki Yamanaka, Yuji Tanaka, Shunichiro Tsuji, Takashi Murakami   +7 more
wiley   +1 more source

Weak Solutions for Time-Fractional Evolution Equations in Hilbert Spaces

Fractal and Fractional, 2021
Our purpose is to introduce a notion of weak solution for a class of abstract fractional differential equations. We point out that the time fractional derivative occurring in the equations is in the sense of the Caputo derivative.
Paola Loreti, Daniela Sforza
doaj   +1 more source

Asymptotic stability of solutions to abstract differential equations [PDF]

, 2010
An evolution problem for abstract differential equations is studied. The typical problem is: $$\dot{u}=A(t)u+F(t,u), \quad t\geq 0; \,\, u(0)=u_0;\quad \dot{u}=\frac {du}{dt}\qquad (*)$$ Here $A(t)$ is a linear bounded operator in a Hilbert space $H ...
Ramm, A. G.
core   +4 more sources

Mapping the evolution of mitochondrial complex I through structural variation

FEBS Letters, EarlyView.
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin, Tingting Chen, James A. Letts   +2 more
wiley   +1 more source

Random fixed points and random differential inclusions

International Journal of Mathematics and Mathematical Sciences, 1988
In this paper, first, we study random best approximations to random sets, using fixed point techniques, obtaining this way stochastic analogues of earlier deterministic results by Browder-Petryshyn, KyFan and Reich. Then we prove two fixed point theorems
Nikolaos S. Papageorgiou
doaj   +1 more source

Dynamic system classifier

, 2016
Stochastic differential equations describe well many physical, biological and sociological systems, despite the simplification often made in their derivation. Here the usage of simple stochastic differential equations to characterize and classify complex
Enßlin, Torsten A., Greiner, Maksim, Müller, Ewald, Pumpe, Daniel   +3 more
core   +1 more source

Differentiability of solutions of abstract neutral integro- differential equations

Journal of Integral Equations and Applications, 2013
This work is concerned with the regularity properties of solutions of abstract neutral integro-differential equations with infinite delay. The results are obtained by using a resolvent operator. Some different cases are discussed when the space is reflexive or has the Radon-Nikodym property.
Henríquez, Hernán R., Santos, José Paulo C. Dos   +1 more
openaire   +5 more sources