2005
DOI: 10.1016/j.jmaa.2004.09.059
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Advanced differential equations with nonlinear boundary conditions

Abstract: We investigate the existence of solutions for advanced differential equations with nonlinear boundary conditions. Sufficient conditions when the problem has extremal solutions or a unique solution are formulated. Linear advanced differential inequalities are also discussed.  2004 Elsevier Inc. All rights reserved.

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Cited by 43 publications
(30 citation statements)
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“…In this case for the validity it suffices to consider φ, ψ continuous functions, and the inequalities must be valid for every t ∈ I. We present an example which resembles some examples in [5,22]. Example 2.…”
Section: Examplesmentioning
confidence: 99%
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“…In this case for the validity it suffices to consider φ, ψ continuous functions, and the inequalities must be valid for every t ∈ I. We present an example which resembles some examples in [5,22]. Example 2.…”
Section: Examplesmentioning
confidence: 99%
“…As a consequence of the results in the previous sections (Theorems 2.7, 4.4), we analyze the following problem studied in [22].…”
Section: Example 411mentioning
confidence: 99%
See 1 more Smart Citation
“…There is a vast literature devoted to the applications of this method to differential equations with initial and boundary conditions, for details, see [1,[4][5][6][7][8][9][10][11][15][16][17]. We also apply this technique to problem (1.1).…”
Section: Remarkmentioning
confidence: 99%
“…The monotone iterative method is useful to obtain approximate solutions of nonlinear differential equations, for details see for example [9], see also [1][2][3][4][5][6][7], [10,11].…”
Section: Introductionmentioning
confidence: 99%