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We consider the following system of differential equations Open image in new window , Open image in new window , Open image in new window  together with Hermite boundary conditions Open image in new window , Open image in new window , Open image in new window , Open image in new window , where Open image in new window , Open image in new window  for Open image in new window , and Open image in new window . By using different fixed point theorems, we offer criteria for the existence of three solutions of the system which are of "prescribed signs" on the interval Open image in new window .

Triple fixed-sign solutions in modelling a system with Hermite boundary conditions