Results 11 to 20 of about 14,686,178 (292)
On Integral Representation of First Kind Bessel Function [PDF]
A first kind Fredholm integral equation with nondegenerate kernel is given, which particular solution is the Bessel function of first kind.
Draščić, Biserka, Pogány, Tibor K
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A Two Points Taylor's Formula for the Generalised Riemann Integral [PDF]
A two points Taylor’s formula for the generalised Riemann integral and various bounds for the remainder are established.
Thompson, H. B, Dragomir, Sever S
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Feedback Integrators for Mechanical Systems with Holonomic Constraints
The feedback integrators method is improved, via the celebrated Dirac formula, to integrate the equations of motion for mechanical systems with holonomic constraints so as to produce numerical trajectories that remain in the constraint set and preserve ...
Dong Eui Chang +2 more
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First Integrals and Symmetries of Nonholonomic Systems
AbstractIn nonholonomic mechanics, the presence of constraints in the velocities breaks the well-understood link between symmetries and first integrals of holonomic systems, expressed by Noether’s Theorem. However, there is a known special class of first integrals of nonholonomic systems generated by vector fields tangential to the group orbits, called
Balseiro, Paula, Sansonetto, Nicola
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The propagation of optical soliton profiles in plasma physics and atomic structures is represented by the (1+1)− dimensional Schrödinger dynamical equation, which is the subject of this study.
Muhammad Abu Bakar +4 more
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A Review of Matrix SIR Arino Epidemic Models
Many of the models used nowadays in mathematical epidemiology, in particular in COVID-19 research, belong to a certain subclass of compartmental models whose classes may be divided into three “(x,y,z)” groups, which we will call respectively “susceptible/
Florin Avram +2 more
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Alignment and integration of the first PLATO camera [PDF]
sponsorship: This work presents results from the European Space Agency (ESA) space mission PLATO. The PLATO payload, the PLATO Ground Segment and PLATO data processing are joint developments of ESA and the PLATO Mission Consortium (PMC). Funding for the PMC is provided at national levels, in particular by countries participating in the PLATO ...
Royer, P. +25 more
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First Integrals of Differential Operators from SL(2,ℝ) Symmetries
The construction of first integrals for SL(2,R)-invariant nth-order ordinary differential equations is a non-trivial problem due to the nonsolvability of the underlying symmetry algebra sl(2,R).
Paola Morando +2 more
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Darboux and rational first integrals for a family of cubic three dimensional systems
In this paper, we investigate the first integrals of the following system exam.PNG exam1.PNG This kind of system is a particular case of the jerk cubic three dimensional polynomial differential systems.
Sarbast Hussein Mikaeel, Azad I. Amen
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On a Class of Integrable Systems with a Cubic First Integral [PDF]
A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explicit form of these models hinged on the solution of a nonlinear third order ordinary differential equation which could not be obtained.
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