Results 101 to 110 of about 5,360,556 (378)
Integrability and Einstein׳s Equations
Integrable structures arise in general relativity when the spacetime possesses a pair of commuting Killing vectors admitting 2-spaces orthogonal to the group orbits. The physical interpretation of such spacetimes depends on the norm of the Killing vectors.
Korotkin, Dmitry, Samtleben, Henning
openaire +2 more sources
A New Integral Equation Form of Integrable Reductions of the Einstein Equations
Theoretical and Mathematical Physics, 2001 LaTeX, 23 pages; v2: the third displayed equation in sec.
openaire +3 more sources
Molecular Oncology, EarlyView.The 5th edition of the European Code Against Cancer (ECAC5) contains 14 recommendations on cancer prevention. Here, we update the cancer prevention recommendations regarding the use of hormone replacement therapy (HRT), which is positioned as recommendation number 13 of the ECAC5.
Mangesh A. Thorat +18 more
wiley +1 more source
Canadian Journal of Mathematics, 1963 Erdélyi and Sneddon (4) have reduced the dual integral equations (4, (1.4))where Ψ is unknown, to a single Fredholm integral equation (4, (4.4)), from the solution of which Ψ is explicitly obtainable. Their work extended and clarified an investigation by Cooke (1), placing it in a context of standard integral transforms.
openaire +4 more sources
Archives of Acoustics, 2014 In this paper, the authors propose an algorithm for numerical solution of the 3D Helmholtz equation using the Parametric Integral Equation System (PIES). The PIES, unlike the traditional Boundary Integral Equation (BIE), is characterized by the fact that
E. ZIENIUK, K. SZERSZEŃ
doaj
MathematicsA new kind of graph-based contraction in a metric space is introduced in this article. We investigate results concerning the best proximity points and fixed points for these contractions, supported by illustrated examples.
Kanyuta Poochinapan +3 more
doaj +1 more source
Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation
International Journal of Mathematics and Mathematical Sciences, 1999 The generalized forced Boussinesq equation, utt−uxx+[f(u)]xx+uxxxx=h0, and its periodic traveling wave solutions are considered. Using the transform z=x−ωt, the equation is converted to a nonlinear ordinary differential equation with periodic boundary ...
Kenneth L. Jones, Yunkai Chen
doaj +1 more source
A Nyström Method for a Class of Integral Equations on the Real Line with Applications to Scattering by Diffraction Gratings and Rough Surfaces [PDF]
, 2000 A. Meier +3 more
openalex +1 more source
On the Theory of an Integral Equation
Advances in Applied Mathematics, 1994 The main object of the study in the paper is the following integral equation (1) \(x(t) = f(t) - \mu \int^ \infty_ 0 K(\tau) \text{sign} [x(t - \tau)] d \tau\). Here it is assumed that \(\mu \geq 0\), \(f\) is a continuous function having only isolated zeros \(t_ k\) such that \(f'(t_ k) \neq 0\) for \(k=1,2, \dots\). Moreover, the kernel function \(K\)
openaire +1 more source
Molecular Oncology, EarlyView.Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
wiley +1 more source