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Keywords:
completely continuous mapping; linear projection; Fredholm operator of index zero; Cauchy function; Hilbert-Schmidt operator; algebraic multiplicity
completely continuous mapping; linear projection; Fredholm operator of index zero; Cauchy function; Hilbert-Schmidt operator; algebraic multiplicity
Summary:
The aim of this paper is to establish some a priori bounds for solutions of Landesman-Lazer problem. We show the application for the solution structure of the nonlinear differential equation of the fourth order
References:
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[3] Mawhin, J., Schmitt, K.: Lamdesman–Lazer type problems a an eigenvalue of odd multiplicity. Results in Mathematics 14 (1988), 138-146. MR 0956010
[4] Pinda, L.: On a fourth order periodic boundary value problem. Arch. Math. (Brno) 30 (1994), no. 1, 1-8. MR 1282107 | Zbl 0808.34020
[5] Šeda, V.: Some remarks to coincidence theory. Czechoslovak Matematical Journal 38 (1988), no. 113, 554-572. MR 0950308
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