A UNIFORMLY STABLE SOLVABILITY OF NLBVP FOR PARAMETERIZED ODE

Abstract

Nonlocal boundary value problem of the first kind for an odinary linear second order differential equation with positive parameter at the highest derivative is considered. The existence and uniqueness, as well as, a uniformly stable estimate of classical solution is established under accurate condition on coefficients and location of nonlocal data carriers of multipoint boundary value condition. An essentiality of the revealed condition is confirmed by ill-posed problem examples.

Keywords

• differential equation
• nonlocal boundary problem
• a uniform solvability

References

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