<p>We obtain the conditions of bifurcation at the point <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( \varepsilon = 0 \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ε</mi> <mo>=</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation> for weakly perturbed linear stochastic differential equations.</p>

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CONDITIONS OF SOLVABILITY OF A WEAKLY PERTURBED BOUNDARY-VALUE PROBLEM FOR LINEAR STOCHASTIC DIFFERENTIAL EQUATIONS

  • Ruslan Repnin

摘要

We obtain the conditions of bifurcation at the point \( \varepsilon = 0 \) ε = 0 for weakly perturbed linear stochastic differential equations.