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            <title xml:lang="en">Periodic Solutions of a Class of Non-autonomous Discontinuous Second-Order Differential Equations</title>
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                <title xml:lang="en">Periodic Solutions of a Class of Non-autonomous Discontinuous Second-Order Differential Equations</title>
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                <term xml:lang="en">Second order</term>
                <term xml:lang="en">Filippov systems</term>
                <term xml:lang="en">Non-autonomous Filippov systems</term>
                <term xml:lang="en">Non-smooth differential equations</term>
                <term xml:lang="en">Periodic solutions</term>
                <term xml:lang="en">Non-autonomous</term>
                <term xml:lang="en">Second order Periodic solutions</term>
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              <p>We consider the second-order discontinuous differential equation y('') + eta sgn(y) = &amp; x1d703;&amp; xdf03;y + alpha sin(beta t) where the parameters eta, &amp; x1d703;&amp; xdf03;, alpha, and beta are real. The main goal is to discuss the existence of periodic solutions. Under explicit conditions, the number of such solutions is given. Furthermore, for each of these periodic solutions, an explicit formula is provided.</p>
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