Search results for "Solutions"
showing 10 items of 757 documents
From particular polynomials to rational solutions to the PII equation
2022
The Painlevé equations were derived by Painlevé and Gambier in the years 1895 − 1910. Given a rational function R in w, w ′ and analytic in z, they searched what were the second order ordinary differential equations of the form w ′′ = R(z, w, w ′) with the properties that the singularities other than poles of any solution or this equation depend on the equation only and not of the constants of integration. They proved that there are fifty equations of this type, and the Painlevé II is one of these. Here, we construct solutions to the Painlevé II equation (PII) from particular polynomials. We obtain rational solutions written as a derivative with respect to the variable x of a logarithm of a…
Multi-parameters rational solutions to the mKdV equation
2021
N-order solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of two wronskians of order N depending on 2N real parameters. When one of these parameters goes to 0, we succeed to get for each positive integer N , rational solutions as a quotient of polynomials in x and t depending on 2N real parameters. We construct explicit expressions of these rational solutions for orders N = 1 until N = 6.
Solutions to the Gardner equation with multiparameters and the rational case
2022
We construct solutions to the Gardner equation in terms of trigonometric and hyperbolic functions, depending on several real parameters. Using a passage to the limit when one of these parameters goes to 0, we get, for each positive integer N , rational solutions as a quotient of polynomials in x and t depending on 2N parameters. We construct explicit expressions of these rational solutions for orders N = 1 until N = 3. We easily deduce solutions to the mKdV equation in terms of wronskians as well as rational solutions depending on 2N real parameters.
Controlled polyhedral sweeping processes: existence, stability, and optimality conditions
2021
This paper is mainly devoted to the study of controlled sweeping processes with polyhedral moving sets in Hilbert spaces. Based on a detailed analysis of truncated Hausdorff distances between moving polyhedra, we derive new existence and uniqueness theorems for sweeping trajectories corresponding to various classes of control functions acting in moving sets. Then we establish quantitative stability results, which provide efficient estimates on the sweeping trajectory dependence on controls and initial values. Our final topic, accomplished in finite-dimensional state spaces, is deriving new necessary optimality and suboptimality conditions for sweeping control systems with endpoint constrain…
La reproducción asistida y la filiación. Especial referencia al caso de las parejas de mujeres homosexuales
2018
This paper analyses, in general, the evolution that has had the art. 7.3 LTRHA since its introduction by the Act 3/2007, 15 march. In that way, it shows which has been the legislator´s solution about the use of assisted reproduction tecniques by homosexual women couples. Likewise, it studies which resolutions on the matter have been more relevant in the last years. All this, to set out the legislator´s failure and the need to reformulate the filiation regime in face of the challenge that assisted reproduction implies.
Hacia la ley europea del clima: las evaluaciones científicas y el futuro papel de las respuestas jurídicas de los estados miembros
2021
Los problemas climáticos son temas persistentes y omnipresentes dentro de las políticas y legislaciones contemporáneas, que exigen un enfoque interdisciplinario para promover soluciones jurídicas adecuadas para la complejidad del tema. Paradójicamente, las propagandas negacionistas, lejos de bloquear las acciones climáticas, las han propiciado, lo que ha llevado al establecimiento de un organismo científico super partes que reconociese las cuestiones climáticas a través de informes científicos avanzados: el Grupo Intergubernamental de Expertos sobre el Cambio Climático de la ONU (IPCC). Desde entonces, muchos países han usado los hallazgos del IPCC como base científica para desarrollar polí…
Consideraciones sobre la cláusula irph a la luz de sus antecedentes y de la doctrina consolidada del tribunal de justicia de la union europea
2021
By issuing its judgment of March 3, 2020, the Court of Justice of the European Union (CJEU) has terminated the last episode in the evolution of the IRPH index to which almost a tenth of mortgages have been referring. in Spain, compared to the rest that the Euribor takes as a reference, declaring in essence that consumers will be able to go to court to declare the abusiveness of the clause that the aforementioned index contains in the deeds of constitution of the mortgage. To understand the scope of the current situation, it is convenient to consider even briefly what the IRPH consists of and the consequences that its application has entailed for the affected consumer borrowers, taking into …
Italian assisted negotiation: an additional tool to settle matrimonial property regime cases
2021
The assisted negotiation procedure highlighted the need to distinguish the various forms of justice in view to obtaining decisions that can effectively satisfy the interests of the family. In fact the agreements who discipline the family conflicts attributes a central role to the will of the couple in the collaborative search for suitable solutions for the management of the crisis of the emotional bond.
New Fluorinated Peptidomimetics through Tandem Aza-Michael Addition to α-Trifluoromethyl Acrylamide Acceptors: Synthesis and Conformational Study in …
2009
A range of partially modified retro (PMR) psi[NHCH(2)] peptide mimetics containing a hydrolytically stable CH(2)CH(CF(3))CO unit have been synthesized. The first kind of peptidomimetics is obtained from the highly efficient aza-Michael addition of different amines to alpha-trifluoromethyl acrylamide acceptors. Subsequent deprotection of the amino group furnishes the key common intermediate for the synthesis of other families of peptidomimetics: dipeptides, tripeptides, peptidomimetics containing a urea moiety, and structures containing two units of alpha-trifluoromethyl-beta(2)-alanine. Finally, a conformational study of several of the newly synthesized peptidomimetics, performed with the a…
Thermodynamic properties of N-octyl- and N-dodecylnicotinamide chlorides in water
1990
Densities, heat capacities and enthalpies of dilution at 25°C and osmotic coefficients at 37°C were measured for N-octyl- and N-dodecylnicotinamide chlorides in water over an extended concentration region. Partial molar volumes, heat capacities, relative enthalpies and nonideal free energies and entropies at 25°C were derived as a function of the surfactant concentration. For both surfactants, plots of volumes, enthalpies and free energies vs. concentration are regular whereas those of heat capacities and entropies present anomalies at about 0.8 and 0.1m for the octyl and dodecyl compounds, respectively. Changes in the slope of a plot of osmotic coefficients times molality vs. molality were…