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Dong, S., & Wang, Y. (2023). A method for computing inverse parametric pde problems with random-weight neural networks. Journal of Computational Physics.Search in Google Scholar
Lv, C., Wang, L., & Xie, C. (2023). A hybrid physics-informed neural network for nonlinear partial differential equation. International Journal of Modern Physics C, 34(06).Search in Google Scholar
Ricardo, A. C., Fernandes, G. P. L. M., Duzzioni, E. I., Campo, V. L., & Villas-Boas, C. J. (2022). Alternatives to a nonhomogeneous partial differential equation quantum algorithm. Physical Review, A.Search in Google Scholar
Shi, R. (2021). The boundary proportion differential control method of micro-deformable manipulator with compensator based on partial differential equation dynamic model. Micromachines, 12.Search in Google Scholar
Aslan, S. S., Sturler, E. D., & Kilmer, M. E. (2017). Randomized approach to nonlinear inversion combining simultaneous random and optimized sources and detectors. SIAM Journal on Scientific Computing, 41(2).Search in Google Scholar
Zh., K. A. (2018). Nonlinear implicit green’s functions for numerical approximation of partial differential equations: generalized burgers’ equation and nonlinear wave equation with damping. International Journal of Modern Physics C, S0129183118500547-.Search in Google Scholar
Cowan, C., & Moameni, A. (2017). A new variational principle, convexity and supercritical neumann¥n, problems. Transactions of the American Mathematical Society.Search in Google Scholar
Jia, L., Chen, H., & Wang, H. (2017). Mixed-type galerkin variational principle and numerical simulation for a generalized nonlocal elastic model. Journal of Scientific Computing, 71(2), 1-22.Search in Google Scholar
He, J. H. (2017). Generalized equilibrium equations for shell derived from a generalized variational principle. Applied Mathematics Letters, 64, 94-100.Search in Google Scholar
Gaset, J., & Adrià Marín-Salvador. (2022). Application of herglotz’s variational principle to electromagnetic systems with dissipation. International Journal of Geometric Methods in Modern Physics.Search in Google Scholar
Han, W., & Yao, J. (2018). Existence and uniqueness of positive solution for p -laplacian kirchhoffschrdinger-type equation. Advances in Mathematical Physics, 2018, 1-7.Search in Google Scholar
Zhang, N., Jia, G., & Zhang, T. (2022). Multiplicity of solutions for some singular quasilinear schrodinger-kirchhoff equations with critical exponents. Applicable Analysis.Search in Google Scholar
Che, G., & Chen, H. (2022). Existence and multiplicity of solutions for kirchhoff-schrodinger-poisson system with critical growth. International journal of mathematics(1), 33.Search in Google Scholar
Jiang, S., & Liu, S. (2022). Multiple solutions for schrodinger-kirchhoff equations with indefinite potential. Applied mathematics letters(124-), 124.Search in Google Scholar
Yang, C. N., & Tang, C. L. (2023). Ground state sign-changing solutions for schrodinger-kirchhoff equation with asymptotically cubic or supercubic nonlinearity. Qualitative theory of dynamical systems.Search in Google Scholar
Liu, Y., & Yin, L. (2021). Fractional kirchhoff schrodinger equation with critical exponential growth in r-n. Topological methods in nonlinear analysis(1), 57.Search in Google Scholar
Li, Z. Z. Q. (2017). Existence and uniqueness results for kirchhoff-schrodinger-poisson system with general singularity. Applicable Analysis, 96(13a16).Search in Google Scholar
Yang, J. F., Guo, W., Li, W. M., & Zhang, J. F. (2023). Existence of normalized solutions for a class of kirchhoff-schrodinger-poisson equations in r-3. Annals of functional analysis.Search in Google Scholar
Zhang, Q. (2019). Existence of positive solution to kirchhoff-schrödinger-poisson system with strong singular term. Journal of Mathematical Physics, 60(4).Search in Google Scholar
Han, W., An, C. B., & Yao, J. (2020). The existence of the sign-changing solutions for the kirchhoffschrdinger-poisson system in bounded domains. Advances in Mathematical Physics, 2020.Search in Google Scholar
Yang, D., & Bai, C. (2019). Multiplicity results for a class of kirchhoff-schrdinger-poisson system involving sign-changing weight functions. Journal of Function Spaces.Search in Google Scholar