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On sufficient conditions for bifurcationA new approach to bifurcation study is presented, relying on the theory of second order optimality

Nondegenerate necessary conditions of optimality for problems without normality assumptionsNondegenerate second-order necessary conditions of optimality for general nonlinear optimization

Theoretical fundamentals for unimodality estimation of an objective functional in the optimal control problemThe use of various optimization methods and the efficiency of their work strongly depends

On strong and weak second-order necessary optimality conditions for nonlinear programmingSecond-order necessary optimality conditions play an important role in optimization

On Optimal Properties of Special Nonlinear and Semi-infinite Problems Arising in Parametric OptimizationWe consider a special nonlinear Programming problem depend-ing on integer parameters. For some

General nonlinear impulsive control problems nonlinear problems of calculus of variations which allow for discontinuous optimal arcs are also examined

Tangent vectors to a zero set at abnormal pointsConstrained optimization

First and Second Order Necessary Conditions of Optimality for Impulsive Control ProblemsWe present first and second order necessary conditions of optimality for a general class

Strong Second Order Necessary Optimality ConditionsStrong Second Order Necessary Optimality Conditions

Nonexistence of Nontrivial Weak Solutions of Some Nonlinear Inequalities with Gradient Nonlinearity of the Laplace operator and with a nonlinear term of the form a(x) |∇(Δmu)|q + b(x)|∇u|s. We obtain optimal a

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