In this paper, by employing the variational method, we show that a boundary value problem of sixth order has infinitely many solutions. In fact, via a critical point theorem, we will present sufficient conditions such that the problem has a sequence of solutions in a suitable function space. Specific cases and an examples of results are also stated.
Shokooh, S., Ghezelseflou, H., & Farokhzad Rostami, R. (2024). On the existence of solutions for a sixth-order boundary value problem. Journal of Advanced Mathematical Modeling, 14(2), 26-38. doi: 10.22055/jamm.2024.46159.2257
MLA
Saeid Shokooh; Hadis Ghezelseflou; Razieh Farokhzad Rostami. "On the existence of solutions for a sixth-order boundary value problem". Journal of Advanced Mathematical Modeling, 14, 2, 2024, 26-38. doi: 10.22055/jamm.2024.46159.2257
HARVARD
Shokooh, S., Ghezelseflou, H., Farokhzad Rostami, R. (2024). 'On the existence of solutions for a sixth-order boundary value problem', Journal of Advanced Mathematical Modeling, 14(2), pp. 26-38. doi: 10.22055/jamm.2024.46159.2257
VANCOUVER
Shokooh, S., Ghezelseflou, H., Farokhzad Rostami, R. On the existence of solutions for a sixth-order boundary value problem. Journal of Advanced Mathematical Modeling, 2024; 14(2): 26-38. doi: 10.22055/jamm.2024.46159.2257
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