Asymptotic integration of the second order differential equation, resonance effect
2015 ◽
Vol 63
(1)
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pp. 223-235
Keyword(s):
Abstract There will be presented asymptotic formulas for solutions of the equation y'' + (1 + φ (x))y = 0, 0 < x0 < x < ∞ , where function is small in a certain sense for large values of the argument. Usage of method of L-diagonal systems allows to obtain various forms of solutions depending on the properties of function φ . The main aim will be discussion about the second order differential equations possesing a resonance effect known for Wigner von Neumann potential. A class of potentials generalizing that of Wigner von Neumann will be presented.
1931 ◽
Vol 27
(4)
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pp. 546-552
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1987 ◽
Vol 35
(1)
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pp. 43-48
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1967 ◽
Vol 10
(2)
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pp. 191-196
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1982 ◽
Vol 25
(3)
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pp. 291-295
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1977 ◽
Vol 77
(3-4)
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pp. 309-318
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