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Titlebook: Differential and Difference Equations with Applications; ICDDEA, Amadora, Por Sandra Pinelas,Zuzana Došlá,Peter E. Kloeden Conference proce

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On Source Identification Problem for Telegraph Differential Equations, positive definite operator . is investigated. Operator approach permitted us to establish stability estimates for the solution of the problem (.). In applications, three source identification problems for telegraph equations are investigated.
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On a One-Equation Turbulent Model with Feedbacks, the consideration of a general feedback forces field in the momentum equation and a rather general turbulent dissipation function in the equation for the turbulent kinetic energy. For the steady-state associated boundary value problem, we prove the uniqueness of weak solutions under monotonous cond
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On Stationary Solutions of KdV and mKdV Equations, last one both in focusing and defocusing cases) are constructed. The method of the study is based on the theory of conservative systems with one degree of freedom. The obtained solutions turn out to be periodic. Exact relations between the length of the interval and coefficients of the equations wh
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A Filippov-Type Existence Theorem for Some Nonlinear ,-Difference Inclusions,itably adapted in order to obtain the existence of solutions for the problems considered. Note that for a differential inclusion defined by a lipschitzian set-valued map with nonconvex values, Filippov’s theorem consists in proving the existence of a solution starting from a given “quasi” solution.
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Oscillatory Solutions of Boundary Value Problems,m . Introducing types of solutions of boundary value problems as an oscillatory type of the respective equation of variations, we show that for a solution of definite type, the problem can be reformulated in a quasi-linear form. Resonant problems are considered separately. Any resonant problem that
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An Issue About the Existence of Solutions for a Linear Non-autonomous MTFDE, is to provide the proof of a theorem introduced in Lima et al. (J. Comput. Appl. Math. 234(9):2732–2744, 2010) about existence of solution of a class of mixed-type functional differential equations (MTFDEs). It is an effort to complete the theoretical basis of some computational methods introduced
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