Summary form only given. It is known that temporal variations inmedium parameters cause alterations in the frequency and amplitude ofthe electromagnetic wave propagating in the medium. The wave reflectionfrom a moving boundary of the medium results in the same effect. Theseeffects can be used for a generation of high power microwaves and ultrawide band pulses. The purpose of the paper is to consider the normalincidence of an electromagnetic wave on a flat plasma layer. It isconsidered both a steady layer and a layer whose boundaries startingfrom a zero moment of time move one towards another so that after acertain temporal interval the collapse of the layer takes place. Theproblem is formulated in terms of the Volterra integral equation of thesecond kind and its solution is found by the resolvent method. Theresolvent operators for both the steady layer and the layer withcollapsing boundaries are obtained. The resolvent obtained allows toconsider the transformation of an arbitrary initial electromagneticfield
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