共查询到20条相似文献,搜索用时 15 毫秒
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In this paper higher order linear impulsive differential equations with fixed moments of impulses subject to linear boundary conditions are studied. Green's formula is defined for piecewise differentiable functions. Properties of Green's functions for higher order impulsive boundary value problems are introduced. An appropriate example of the Green's function for a boundary value problem is provided. Furthermore, eigenvalue problems and basic properties of eigensolutions are considered. 相似文献
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Solutions of strongly degenerate parabolic partial differential equations are known to develop infinite spatial derivatives in finite time from smooth initial conditions over the real line. However, when Dirichlet or Neumann boundary conditions are prescribed on a finite interval, a smooth classical solution may exist for all Eq., with derivatives vanishing as t tends to infinity. With some simple extra conditions relating two nonlinear coefficients in the degenerate equation, classical solvability is proved in general. 相似文献
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WENGPEIXUAN 《高校应用数学学报(英文版)》1997,12(2):155-164
We use the topological degree method to deal with the generalized Sturm-Liouville boundary value problem (BVP) for second order mixed-type functional differential equation x(t)=f(t,xt,xt), 0≤t≤T. Existence principle and theorem for solutions of the BVP are obtained. 相似文献
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D. D. Hai 《Rendiconti del Circolo Matematico di Palermo》1995,44(2):197-214
This paper is concerned with existence and uniqueness results for fourth order boundary value problems in a Hilbert space.
Our approach is based on the Leray-Schauder continuation theorem. 相似文献
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We apply the monotone iterative method to formulate existence results for integro-differential equations with nonlinear boundary conditions. Some results for integro-differential inequalities are also given. Examples illustrate obtained results. 相似文献
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F. E. Lomovtsev 《Differential Equations》2010,46(9):1374-1378
We prove the well-posedness of new boundary value problems for partially pseudodifferential complete nonclassical equations
of variable order in space variables with higher derivatives of odd order in time. 相似文献
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Haiping Shi 《Journal of Difference Equations and Applications》2013,19(9):1121-1130
By using the critical point theory, some sufficient conditions for the existence and multiplicity of the boundary value problems to a class of second order functional difference equations are obtained. 相似文献
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In this paper, we consider boundary value problems for nonlinear differential equations on the semi-axis (0,∞) and also on the whole axis (−∞,∞), under the assumption that the left-hand side being a second order linear differential expression belongs to the Weyl limit-circle case. The boundary value problems are considered in the Hilbert spaces L2(0,∞) and L2(−∞,∞), and include boundary conditions at infinity. The existence and uniqueness results for solutions of the considered boundary value problems are established. 相似文献
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Leonid V. Kalachev Robert E. O'Malley 《Numerical Functional Analysis & Optimization》2013,34(3-4):363-378
This paper shows how certain regularization methods can be used to determine the solution structure of linear differential systems subject to linear constraints and boundary conditions. Attention is restricted to the relatively straightforward index-one problems and to certain index-two problems, where endpoint jumps are related to the underlying boundary layer structure of the corresponding singular perturbation problems. 相似文献
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Ivan Kiguradze Tariel Kiguradze 《Nonlinear Analysis: Theory, Methods & Applications》2008,69(7):1914-1933
In the rectangle Ω=[0,a]×[0,b] for the nonlinear hyperbolic equation the boundary value problems of the type are considered, where and are linear bounded functionals.Sufficient conditions of solvability and unique solvability of the general problem and its particular cases (Nicoletti type, Dirichlet, Lidstone and Periodic problems) are established. 相似文献