Results 21 to 30 of about 7,361,772 (294)

Periodic Problem with a Potential Landesman Lazer Condition

Boundary Value Problems, 2010
We prove the existence of a solution to the periodic nonlinear second-order ordinary differential equation with damping , , . We suppose that , the nonlinearity satisfies the potential Landesman Lazer condition and prove that a critical point of a
Tomiczek Petr
doaj   +2 more sources

Examining the potential and pitfalls of AI in problem solving [PDF]

Journal of Pedagogical Research
The integration of artificial intelligence (AI) into mathematical problem-solving has shown significant potential to enhance student learning and performance.
Yasin Memiş
doaj   +1 more source

Inverse Problem of Potential Theory

Applied Mathematics Letters, 2018
P. Novikov in 1938 has proved that if $u_1(x)=u_2(x)$ for $|x|>R$, where $R>0$ is a large number, $$u_j(x):=\int_{D_j}g_0(x,y)dy, \quad g_0(x,y):=\frac 1 {4π|x-y|},$$ and $D_j\subset \mathbb{R}^3$, $j=1,2,$ $D_j\subset B_R$, are bounded, connected, smooth domains, star-shaped with respect to a common point, then $D_1=D_2$. Here $B_R:= \{x: |x|\le
openaire   +2 more sources

Landau-Zener problem for energies close to potential crossing points

, 2004
We examine one overlooked in previous investigations aspect of well - known Landau - Zener (LZ) problem, namely, the behavior in the intermediate, i.e. close to a crossing point, energy region, when all four LZ states are coupled and should be taken into
A. Erdelyi, A. M. Polyakov, C. Zhu, E. I. Kats, E. V. Vetoshkin, F. W. J. Olver, F. W. J. Olver, J. Heading, L. D. Landau, M. V. Fedoryuk, M. V. Fedoryuk, M. V. Fedoryuk, S. Coleman, V. A. Benderskii, V. A. Benderskii, V. A. Benderskii, V. A. Benderskii   +16 more
core   +1 more source

Preferences of Pediatric Patients and Their Caregivers for Chemotherapy‐Induced Nausea and Vomiting Control Endpoints: A Mixed Methods Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Although not always achieved, complete chemotherapy‐induced nausea and vomiting (CINV) control is the conventional goal of CINV prophylaxis. In this two‐center, mixed‐methods study, we sought to understand the preferences of adolescent patients and family caregivers for CINV control endpoints.
Haley Newman, Tadi Hondonga, Alison Berry, Caitlin Elgarten, Jason Freedman, Katelyn Oranges, Sara McDonough, Caroline Diorio, L. Lee Dupuis   +8 more
wiley   +1 more source

Solving the Inverse Problem of Relationship Between Action Potentials and Field Potentials in Cardiac Cells

Vìsnik Nacìonalʹnogo Tehnìčnogo Unìversitetu Ukraïni Kììvsʹkij Polìtehnìčnij Ìnstitut: Serìâ Radìotehnìka, Radìoaparatobuduvannâ, 2021
Multiple electrode array (MEA) systems are the instrument platforms being used for cardiac extracellular electrophysiology investigation. Key applications of MEA technology are disease modeling and screening of drug effects.
N. G. Ivanushkina, K. O. Ivanko, M. O. Shpotak, Y. V. Prokopenko   +3 more
doaj   +1 more source

Darboux dressing and undressing for the ultradiscrete KdV equation [PDF]

, 2019
We solve the direct scattering problem for the ultradiscrete Korteweg de Vries (udKdV) equation, over $\mathbb R$ for any potential with compact (finite) support, by explicitly constructing bound state and non-bound state eigenfunctions. We then show how
Gilson, Claire R., Nimmo, Jonathan J. C., Willox, R.   +2 more
core   +2 more sources

Health‐Related Quality of Life and Symptom Severity Among Patients With PIK3CA‐Related Overgrowth Spectrum: A Mixed‐Methods Study to Understand Real‐World Experience With Alpelisib Treatment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu, Kaitlin LaGasse, Cory D. Saucier, Kimberly Raymond, Miranda Lauher‐Charest, Lauren Crowder, Beilei Cai, Mary Lisha Paul, Denise Adams   +8 more
wiley   +1 more source

On a uniqueness theorem of Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter

Boundary Value Problems, 2018
Inverse nodal problems for Sturm–Liouville equations associated with boundary conditions polynomially dependent on the spectral parameter are studied. The authors show that a twin-dense subset WB([a,b]) $W_{B}([a,b])$ can uniquely determine the operator ...
Yu Ping Wang, Ko Ya Lien, Chung Tsun Shieh   +2 more
doaj   +1 more source

Improving the Effective Potential, Multi-Mass Problem and Modified Mass-Dependent Scheme

, 1993
We present a new procedure for improving the effective potential by using renormalization group equation (RGE) in the presence of several mass scales. We propose a modification of the mass-dependent (MD) renormalization scheme, MDbar scheme, so that the ...
Nakano, Hiroaki, Yoshida, Yusuke
core   +1 more source