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Nonlinear Analysis: Theory, Methods & Applications, 1997Mixed functional-differential equations, difference-differential equations and Barbashin type equations are considered. Problems of solvability, stability and asymptotic stability are studied, and two theorems are proved.
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Applied Mathematics and Computation, 2010Let \(\Omega\) be a measurable subset of \(\mathbb{R}^N\) and \(X\) be a finite dimensional Banach space. The authors deal with the existence of solutions for the operator equation \[ \psi(t)=g(t,\psi(t))+(BN_fUA\psi)(t), \] where \(A\) and \(B\) are bounded linear operators on \(L^1(\Omega,X)\), \(N_f\) is the Nemytskii operator and \(U\) is the ...
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First Order System of Equations of Mixed Type and Second Order Equation of Mixed Type
Journal of Partial Differential Equations, 1993Summary: A system of first order equations of mixed type, which may be reduced to a general second order equation of mixed type, is considered. Uniqueness of solution to the generalized Tricomi problem is proved by the method of auxiliary function. Existence of \(H^ 1\) strong solution is based on a characteristic problem and is proved by the Fredholm ...
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