Results 61 to 70 of about 52,043 (285)
On a fixed point theorem Krasnoselskii-Shafer type
Electronic Journal of Qualitative Theory of Differential Equations, 2002 In this paper a variant of a fixed point theorem to Krasnoselskii-Schaefer type is proved and it is further applied to certain nonlinear integral equation of mixed type for proving the existence of the solution.
Bapurao Dhage
doaj +1 more source
Advanced Photonics Research, EarlyView.Telecom‐band quantum light sources have significant practical applications in this domain. This study reports the high‐performance telecom‐wavelength biphoton generation from a hot vapor cell of 87Rb. For the first time, the beat phenomenon in the autocorrelation function of the signal photon with telecom wavelength due to the velocity‐selective ...
Hansol Jeong +3 more
wiley +1 more source
Fixed point theorem utilizing operators and functionals
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper presents a fixed point theorem utilizing operators and functionals in the spirit of the original Leggett-Williams fixed point theorem which is void of any invariance-like conditions.
Douglas Anderson +3 more
doaj +1 more source
Spatially Controlled Optical Vortex Generation Using Low‐Loss Antimony Telluride Metasurfaces
Advanced Photonics Research, EarlyView.The spatially varying vortex beams with the customizable propagation trajectory and the controllable topological charge evolution are demonstrated using the Sb2Te3‐based plasmonic metasurfaces. Benefiting from the dispersion‐free property of the Pancharatnam–Berry phase and the broadband response of polarization conversion efficiency of the nanobrick ...
Chengsen Yang +11 more
wiley +1 more source
Poka: A Necro‐Robot Beetle with a Measured Payload Ratio of 6847%
Advanced Robotics Research, EarlyView.Here, Poka, a necro‐robot beetle with the ability to carry more than 68 times its own weight, is introduced, making it also a walking robot with the highest payload ratio measured to date. This paper is concerned with the design, manufacture and validation of ‘Poka', a novel millimetre‐scale necro‐robot aimed at bridging the performance gap between ...
Yordan Tsvetkov, Parvez Alam
wiley +1 more source
Quenchable Amorphous Diamond: A Novel High‐Pressure Route to Tetrahedral Amorphous Carbon
Advanced Theory and Simulations, EarlyView.This study predicts the high‐pressure transformation of amorphous graphite into an sp3‐rich amorphous diamond phase using ab initio molecular dynamics. A first‐order transition is expected to occur ≈33 GPa in experiments, offering a novel synthesis route for sp3‐bonded amorphous carbon.
Murat Durandurdu
wiley +1 more source
A fractional order Monkeypox model with protected travelers using the fixed point theorem and Newton polynomial interpolation. [PDF]
Healthc Anal (N Y), 2023 Adom-Konadu A +4 more
europepmc +1 more source
A Fixed Point Theorem for Manifolds [PDF]
Proceedings of the American Mathematical Society, 1971 A Lefschetz type fixed point theorem is proved extending a recent theorem by Robert F. Brown. It deals with compact maps of the form f : ( M − U , X ) → ( M , M − U ) f:(M - U,X) \to (M,M - U) , where M M is an
openaire +2 more sources
Epileptiform Activity and Seizure Risk Follow Long‐Term Non‐Linear Attractor Dynamics
Advanced Science, EarlyView.This study leverages the HAVOK framework to model long‐term, nonlinear attractor dynamics underlying epileptiform activity and seizure risk in epilepsy patients. By identifying key forcing mechanisms driving chaotic transitions, the findings improve seizure risk forecasting over multi‐day cycles and provide a pathway for personalized, data‐driven ...
Richard E Rosch +4 more
wiley +1 more source
A Noncontractive Fixed Point Theorem [PDF]
Proceedings of the American Mathematical Society, 1970 The sequence Txn so constructed contains a subsequence TXnk which converges to some x X and which, by Ascoli's theorem [3], is equicontinuous. It follows in turn from (1) that the sequence Xnk is equicontinuous. To complete the proof it suffices to show xn,(t)-x(t) in B.
openaire +2 more sources