We establish the existence of solutions to an initial boundary value problem that involves a certain class of nonhomogeneous functional partial differential equations of the pantograph type with singular time dependent coefficients. The problem is motivated from a cell division equation. The techniques for solving such problems are rare due to the nonlocal term and the singularity in coefficients.
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We thank the referees for their valuable suggestions that led to improvements in the paper.
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Shah, S.T.H., Zaidi, A.A. On the existence of solutions to an inhomogeneous pantograph type equation with singular coefficients. J Elliptic Parabol Equ 6, 935–945 (2020). https://doi.org/10.1007/s41808-020-00089-3
- Functional partial differential equations
- Parabolic partial differential equations
- Partial differential equations with singular coefficients
Mathematics Subject Classification