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# Article

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Keywords:
spherically symmetric solution; trajectory of the solution; со-limit point of the trajectory; asymptotic formula; antitone and contractive operator; zero of the solution; Klein-Gordon equation; global behavior
Summary:
In the paper it is shown that each solution $u(r,\alpha)$ ot the initial value problem (2), (3) has a finite limit for $r\rightarrow \infty$, and an asymptotic formula for the nontrivial solution $u(r,\alpha)$ tending to 0 is given. Further, the existence of such a solutions is established by examining the number of zeros of two different solutions $u(r,\bar{\alpha})$, $u(r,\hat{\alpha})$.
References:
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