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Existence of solutions for higher order BVP with parameters via critical point theory

Jurkiewicz M., Przeradzki B.

Demonstratio Mathematica

2015

Vol. 48, nr 1

53--61

This paper is concerned with the existence of at least one solution of the nonlinear 2k-th order BVP. We use the Mountain Pass Lemma to get an existence result for the problem, whose linear part depends on several parameters.

Podstawowe techniki eksperymentalne spektroskopii NMR w fazie ciekłej

Koźmiński W.

Wiadomości Chemiczne

2005

[Z] 59, 1-2

107--120

General overview of most important NMR techniques and applications for organic and bioorganic molecules in liquids is given. The sensitivity of NMR experiments is discussed with regard to nuclear properties, Bo field, applied method of excitation and detection, and finally concentration. In the next chapter the principles and consequences of quadrature detection are discussed. The most important techniques of quadrature detection in directly and indirectly detected domains are exemplified. In the next point the principles, advantages and disadvantages of coherence selection techniques via phase cycling and Pulsed Field Gradients are indicated and compared with respect to various applications. In the last part of present article the most important homo- (COSY, TOCSY, NOESY, and ROESY) and heteronuclear (HSQC, HMQC/HMBC) techniques used in NMR investigations in liquids are briefly reviewed. The characteristic features and experimental problems of these methods are discussed with respect to usual applications in chemistry and biochemistry.