Литература
Кузютин В. Ф., Зенкевич Н. А., Еремеев В. В. Геометрия: Учебник для вузов. Издательство «Лань», 2003. – 324с.
Иваницкая В. П.. Общая теория поверхностей второго порядка. М.:Учпедгиз, 1958. – 277с.
УДК 517.91
ОБ ОДНОМ НЕОБХОДИМОМ ПРИЗНАКЕ КРАТНОСТИ СОБСТВЕННЫХ ЗНАЧЕНИЙ ОПЕРАТОРА ШТУРМА-ЛИУВИЛЛЯ
Пирманова А.А.
Южно-Казахстанский Государственный Университет им.М.О.Ауезова, г.Шымкент
Научный руководитель – д.ф.-м.н., доцент Шалданбаев А.Ш.
1. ПОСТАНОВКА ЗАДАЧИ. Многие задачи математической задачи приводят к задаче определения собственных значений и собственных функций дифференциальных операторов и разложения произвольной функции в ряд (или интеграл) по собственным функциям. Так, например, к такого рода вопросам приходят всегда, применяя метод Фурье для нахождения решения дифференциального уравнения в частных производных, удовлетворяющего данным начальным и краевым условиям. Поэтому дифференциальные операторы привлекали, и привлекают большое внимание и имеется много работ им посвященных.
Несмотря на фундаментальные результаты полученные до настоящего времени, проблему спектрального разложения дифференциальных операторов еще нельзя считать исчерпанной. Здесь в первую очередь следует указать на задачу определения кратности спектра дифференциального оператора в зависимости от свойств его коэффициентов [1].
Пусть ![](data:image/png;base64,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) пространство Гильберта, - оператор Штурма-Лиувилля, определенный условиями:
![](data:image/png;base64,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) , (1.1)
![](data:image/png;base64,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) (1.2)
Если для некоторого собственного значения ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAALCAYAAABCm8wlAAAACXBIWXMAAA5WAAAORgHMMEOaAAAA1UlEQVR4nGP5DwQMeAALiLiyfzHDtI3nGOILGxnM5fkwFahZhjDE/eJl+PP1B5CHRcHfr48YNhw4wOAba4XFij+fGVZMW8HApqTHIMTJzvDn2xuGtbNmMRz+wMjwhV2EgeX4xskMP7ScGNw4nzIcO36C4avoL4Yvoo4M+cqbGR7t62Rg4VCwZ4jRs2D4//o+A+PtnwxCvI8Yfj9lYODll2KQkNNlYDE0toZYJqXCYC3FwPD9LQvD0wWTGGqv8jB8+OcEcSQy4BRWZ2ieNBXVFwQDCh8AAD7pQpA1DiONAAAAAElFTkSuQmCC) этого оператора соответствуют две собственные функции, то такое собственное значение называется кратным. Спрашивается, какими должны быть коэффициенты краевого условия (1.2), чтобы оператор (1.1)-(1.2) имел хотя бы одного кратного собственного значения.
2. ВСПОМОГАТЕЛЬНЫЕ ПРЕДЛОЖЕНИЯ.
Рассмотрим в пространстве ![](data:image/png;base64,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) спектральную задачу
![](data:image/png;base64,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) (2.1)
![](data:image/png;base64,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) (2.2)
где , - произвольные комплексные числа. λ- спектральный параметр. Сначала найдем общего решения уравнения (2.1) и изучим ее свойства. Имеет место следующая лемма [2].
ЛЕММА 2.1. (а) Пространство решений уравнения (2.1) одномерно;
(б) Общее решение уравнения (2.1) имеет следующий вид
![](data:image/png;base64,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) (2.3)
(в) Для любого нетривиального решения уравнения (2.1) имеет место формула
![](data:image/png;base64,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) . (2.4)
(г) Если ![](data:image/png;base64,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) есть решение уравнения (2.1) и
![](data:image/png;base64,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) , то
![](data:image/png;base64,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) (2.5)
(д) Если λ ![](data:image/png;base64,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) , то пара ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAALCAYAAAAunZ4gAAAACXBIWXMAAA62AAAORgHadFgYAAAE5UlEQVR4nOWVaUyUVxSGn2E+tmGRTWRYBEaWQVkdENQBUQxClKK11YK2Lm0saV2aWv8YYxNN2x9N0yWiVRtiW6rRmFJqxQoUFARccFBkUUEJCDqKCAoiwzLTmUGnRSClf9s3ud93z73nnHvfe885V9BqtTrGQZ/6Gpsyi/l61yYkItF4aqOwdXsaGR9m4e9iPWEbA9Rl+9ndoCBzbeS/shsLR/ZuwGzuJ6wMm2yUhfEU2ypOUNDpzsHdm//R6WBvB7/99A3HW6Rk787gi0+PUPTLd1RNiWXF7MAJbaw0aw9DcWvInGs3QSqjcf7XvWQW3mHnzp2kvXeAe9W/8+mPIsISkoaJ9nS00jVozsOaSmp77Vm2RMmpykv4JW8zOhjouUte4Q0SXomm/mwlHooY3O0tTAsIEmcWp71LR1aJ3o8OB0FEhNyTr0qvwktEDYfScl/DoLqOC2oRKSkLsOus5fhdEZ9NszXqtNVe5vpTe2LkEkou3id54cwJEQ1YuJ607uMm2UUWSlfOXj5uckJ4cu882T9UIQ80p7TBCg/1ES6ExzHQr8bDYfjCHzTf4/GV0+y7044yLhQrC7NRi7TcLKGksZk08bBs7+zJw85qenU6U9j3dtRw9EA+fnN8KSh+wHTzKxR5BRPv1Imjq6VRTzfUS0dXB+WHDtMal8DM+SPD2HAIlY2tfxuxIGjWXAKk9kx62sjRsovsWLTcOCMys2RgwBaV6hpC4cEC/N5YT2feHuYv+4CmrGLM9fw0Wgv6+rr16tZ4zFAQ1XCaz5sd2BYmH0Wyp6mC74/ewCdCYSL1rKebAa1mhN7l3DNYRCehbThMxGtbEefXIRLMEKzNaX8yrCsSSwiJUVJ48meEgBBCPF1H+LCUWCGVuptkjUjA0crCGHWGlPEND8VB/Fc96e7rAhtvBBcPAVXRKe6U6Qi1z+Gm1zLWSHVYToukuk1DsLSXpnoVtx5PxrqmgjPnXIicI0f17ZfYLN9BqE0b2cdySVy9juq8InLPXCU1Poy7bQ1MD/SFR7UcyK5jw5YVTJpiRfPFYmov9xBsdwLVUDTb5Y5ItP5EDpRT36XFT1BTXlaHvcSVxpKz1E6ORVN+jCcxGcT72eHiO0PfRh60aLCTE4cy8UpZhWNrKfnnLpGojML6WRMubh68n5iMELt2C/37d3FNZoXr1Fm8nhBhNA5PTKQ5NxeVQzIDHWKUq97B0zMPsY8ndvqbunVLyxx93RjS9BO1NANFoA9T+7tot3XUh7qKMpWExenRPG47y1PdJKPPkKR0eocOsa9FS7SlF7s+in8eAc6kroziZEEOVhH+WDjISNscRJWqHqnbFP643ovvgtHp8gID/VrcIleyJHw6D5t0NDywRjzYSn7ODVLT1xAmtUMwhIp3QChL5BEkLwgyGZvbupOUlELV7XYUcTHGDYUnLB52rC8o8za+jUyif5kkPigch22mKqKZqv9XVjSQumEpTlYC6kferNsoN4Wlj28gCcoZpC6dN2KzTrJYFolVtGmkzI4efhKU8R7GnI1Y/SZ+7jbjEjUUw8hwZ2P/xY3frjlH8Kspxtw16hg+/gvT8R/Dga2+oMTq21iOZb5jGDxH5OwEU98tIGjEnFtIAm+FjG3n6j0T15fGDIfjJ5eNv9g4kAUrR8jjvqP/NfxviP4JlOisqSUg3QYAAAAASUVORK5CYII=) образует базис решений уравнения Штурма-Лиувилля:
![](data:image/png;base64,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) (2.6)
где
![](data:image/png;base64,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) (2.7)
есть решение уравнения (2.1). Вронскиан этой пары вычисляется по формуле
![](data:image/png;base64,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) (2.8)
(е) Если ![](data:image/png;base64,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) , то пара
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMYAAAALCAYAAAAk7fI3AAAACXBIWXMAAA7CAAAORgFKxxfPAAANuElEQVR4nO2ZeVRUV7bGf0CJzKMglBSDhQyCqCCTCoogUcCocYptElujuGwTJfF10pp2dTodX2yN2nlqjCZK7KjxaZxi1DjghBOgIA4BUZcCKpMMIhSIVPHuvQWFpRDQ1X+95V6rVtW995y99zn72/t8+5ZMo9E00YE8upnChzuK+erjKZgZdjS6VTavmo4scglv9nXs/KROyNldK0gxHsmiBN9Oz6mruM3UJcvZvnT1f9SXghOrWVYQzqp3gl5o3uyPJvPpwmS625i8tN2l+eGsntp5uzm755FsPI+l8T1fyubvyZeL/0zQmwuJUtp2ek5p5hYWnDNkw5zJ/1Fftq5ZBCGz+EOwS6fnrF8+FXncChJ87aVrWUcT8nav54JLHN8uiO5QeZO6lhM/fcO6MzUs/+IT3np/I/ev7OMfyQYsmpbQaSd/T//u1d/Sc0Iii+QWHY5/UnmLjV8u57r7OFbMjJaSYsd3S7ELf4toP/kL297+xXICkz6hl4WRdJ26dQMNg2examjXTvmya9MGjtb5SQVm7dIfOfjjWh55xDIxTPlCfrTYXd0Ju9ePrGflz9mM/3AFMWO/4rOiDP65NIXEpBnYGht02m570lhXyrpVe0n88AusTDuEE/evHSU5eROWcYuZO2wK63xLWbnscxJmL5D29WkpyUun2rYPvRxM27W94bMtTPx7krQWcW82LF3LyLl/o4f57/sizk39+Qe+PveY9UsXkDh/E7nph1m5qRGv4fHIxAF79p/SDlZb8trYWN2GiYa+v3CHObFO0rVYdfcfKSZ+Uj8upZzGNSxKzwEDI3MGjplFccVW3T1Hz1Dqtv2Lyob4Fw5E3vVcbAX1J7Ou4hYQiY/hFY5p3HijOSkKs1LJeezEsL7WHD5XTNywAL35Misn3v0kidU/5KHSIJ12Ef42fH2lsNOJIdoo1DgTKK/ksrEzwysySX3gQ3DXXLbkmLByihacYhCzK2wlX46ezmfE8GA9PV1slYxL/CNV66/yuLEJM2EvQgJ68NX5i3qJIe55esp+rlQZoak2I2HiMORWrQnwuPQ3thVZssTJqFN2FdGJJJruobSyHDzkmDgH4yD7N7klNYQrLDsZCa2U3crF0M6e9F9/wsB7NCMC5RRm/ESJa5CUFKLv50+cxc43CJuamxTgTrCXPltw9gln/nxrfjhVIly5IjN1ZKhCxYHMUuZFOuuNvXHoODWDXPQSo8WGtUcAitqT3PEeSPmtdEqteyEvP0qW/SBmNGNSBHqZYzg+6nvcqJIxMMhTp0e024JV1RO1gE0Znv7ulO39ni35Dsjq7l3BwNwag7xrPHIapAdedUMtMvNaLJvp04P8u5Rf/pF1VeWEDPDBto0Kobqbxi9ZeUS+03zD0IxGIwudcVEK03eydu9FvXnuYeNJHBWoW/z2VYtxCB7DngO78Rs0gJ2bdpE0yhB3RW/dmBKVimPffENFQiwBwf2e80VM1NO/bKagoq+OAlo7uFF0vlSXKI/uX+N02j0ed62lUaXG3MgKI2cPYsN6SVXl9tUsduRUYxdfi0LuQsP9LDZd1qAML0XeSybpEH2prKri4vdbuDNgBP0j26Y3l1NTyCw14m2Zdo+7ufTkQXmGzhdR6h+WUtTYhQDySStXYmpirKejtqIIhW2TDogd2TWszGXHgWMMGR+iu2dppaC0WiX+kq4rCjL4bt0uqmiNvaPrQBJnJuj8EulrwRM/Ki8nI4+P5+rGVSi9Pqe6KAdXt3HSmLqHlRiqK1n++QrGDo/Ec/DziSdiavueTdTYz9Kt29GtN0X3K4Sn2sQQkz31cgE3snPR1J+i6oatFN/ePbvz4E4hd7LTeaSyx7cwi7AhQ8g7vZIb3vOILT+Dl89fJB1i7FQNKvYv+pR7Aj76RwQ/50t53nH2Zt5uxaqBDTVNVmSev4LM0jMavwohs/yiiI9QknZ4OykXzUj6OAExJA/roKF5wxT9Iwi5fpA11Q4kPZV9LSKC7NuNR1GGhtDVsHmTNSqqVA/1xtm4+BAdZa13z7lnD93vmtvnyaoMZJrqEmm9YwhTajh7Vdy4JgofPtKuQQB9UNhg9m3/X7r08pc27Vm5d34HB66aoPD30t1rlHwx1QXcyMQae3mt6BVo6SUWDlbSt1hVFPbFeI6YwO2CPVgJ1elhVSFhfdwxNauhpMxA54t30CDs9u5BrfR8rkqK8iD7ANvOVOLuF6qzXV1WwhO1PvBN7TwI9ywjNUs47f4cjrr4Giu37Cbndj1/W/YpZibm3K6s75RdMXGSVyRj5dEPe4vWIvZISCb7p8aZWDgzLG6oEOtWKmNq6677bfDwKgdPdGXqbBuS8z2Z2c+JtK1CUTBook7Yv7IalTTOzM6F3v5+FCUfI3hENN1M9amR6M/Zn7ZxS6PEx8ZStw+Pqov1xhkKxclV4Up5d1NUjlb0dLcV4tRFeuag9MHa8hG2PZzYl2FJksKGbAs3Al0tsFE7UlSmTTAxdgFBA1mh3sk0ISm85XZ6NkSsrt52Dq+w/noFvrTmMZibIss99CV7s63x7GNAyhkDnJrKURU80R73gvIR9j24VNzIUKdybl67SXGTAqP0I6T2NGFAjBcXvv6MLmOWMMC2hAPbt+A+agaytH2cPJ3G4OBAzFRl2Ds6dsj5ahtbq1UXcysMy09w7EQDMrklG/59mREzF9Ktex3KX3dxo0aNS0MBZzNv4WThQG5KKr/ZROHlbMDWFduI+3AOhmWZrNmXxUdz3mbD5tMcPm8inQI5OfcJ7BuvsyUGMyS0/SbNyEzO9fO/UlF8BoWRI4d+0/CHj7thYxxGoDpL8qVHQxHnMnMFumTDrYwTXHQQkqvoOPmWUZLN+vJcNm5PZdLk6Zw/cIKdR0wZN3wg92/fwrtXb4zr81iz+iRzPpopHf87D51lYEw4B3acIyrWk3dmzOLi5h9RNRkgdw8jRL1WZzc7K6dNu8OD5Zzc+U+MwiYxrOtNsk5dxMoiFKVtIxWPnxDh1k1vnU/qn3+r0gLcJ12MMdHcJetMLQ+qbFixOJmg6e9JMbUPGc2+zWkw3EOiWpcyr9HfRMOJn9OJHKnk4sbv8ZwxX+of8o5tIU0oqn8aruR/9hwhzWGkQCdtuXbjPjHxrYVWBL+DwC4b0gUq1acfIYH6tFfTVE/2xV+prrxH9v6NFNa685arJcaOE7D979NUjuqN+kEuGWmFKB26cPKA4F9cKKV7lmHyxhL6W5ewY+sWho6aRnnWcQ6mnJWwal2Xj9JFzpyEkchU5p4oezZiVt+E54BeeBkbsv+Xqzon4qbFsXXrJrIjolCrZQyZNBs7++3Y9FZgotZwK68Lg6wapbGKiOkCj1NSYjeQO7VyQeddDu/MYuzkd/UWZin3I1r4tCciD543t4m/L/4r/TyGEjLnE/pJfYUlY+McSE89hoG7FVauAfxxvlJKEGcXRxrLL1BUZ4GRkSHiq7aJcxZi392AuAG+GLvaS0d0ZrEbr8d7tGv7WVFETGN61SqWnXEgYKQzYz4e01wJzYl7vR+n9h/FIMAGC3sfRr/bl7zMS7gpe5JxdDcGkeZaYD1WEzX1AwKV5pjX+6GxU0r05XiOA6Onh/Ow8JgQbCeJWliZG+Lt60/j3Yd4RgzC2gxuZp+F4JF0E2IjnhJxCd46u4Z2voLdfpJdJw8Prh0/iGaQOWqxsLkl8JYQcHWpFQ2GtVJSnNh+FI+RSXqNrlgcwqPbLw4yMy/m/vVdvv7H+7i6TyVq9Ae600mM1UDXU0LhuUFP64e4DoohKdSDS4VNWDbWUlDShRbIG7n0ZUpoPxzNG3nNqw53j25knROKjsNkxnk8/yLBO240Txzsn7s/4u2FGG5eweVqZ4w8YkgUio92IV4Mj0jh3OkrQpGsw61vXwaH9iCnsBZbi0ZO3zAlUvhuqGug74hpBPn3ErBaKWHVSCX0zzuvM3ryBPx72CALHDyGwKeM7lq9hrTfqvDODJaawiZrfyZMNebYZYTqp+WpobETpW+Rx4XMndO8yUIzE6TdrO5eIYjE5mZOGv7j4oRjzKZDAD4r9gp3+spH8saUWL0jWREyDmMB4PmmXoQotHqjY7RAf9BkITTbU7V9kmswLYdnn2GDaXxcQ2p+Je+8N/aFXjmLQPTy6UPw24OlKv+0yP1iiLXM4Fa9G6H9tWsPjx4uUQblyNfx8tZWOrEQtDBcnwFaHRfOXGL8zNeltZUYWDN57jDJLzNB5/inaobYj33+rz24Cosx7P4dMQKA5H1GEWudwTWNDxG+lnp2a2NjdXZDQpv7CidPIpy0vYR1eAwxbVC9jsTCwRlvlyH4zZ7w3NujqEnzhfUcwtQ1upkZ2DHMVeDwlWUMfX+qbrynb2jzjK5Ejhkivcy5ZerPzEnP03JRxJOjLRFpkq+3K9H+4wRM6lPowNdmS7hTC814b4k+dSdErsVq+Puzmn1xIagZHC1YFV+yBLw5TtfoP8dvxr63Vvg844iQibFhbTvY+3deibduxIuLqHvWFx+0+axlMc9KN3n7/2vIuloQFf7aS/li5RPPf7UdI+yeSsAWkZLJu50JzTJgUKsv4nraE7EQbN46rk27ES9oty1fOyui7jEL/tLu86fX0yL2tg7Cp32dYj818CUd8oj8EzPaedYW7jrCqtg/641/ObdeySv5/y2vEuOVvJI25P8AFzcsForDbycAAAAASUVORK5CYII=) (2.9)
образует базис в пространстве решений уравнения Штурма-Лиувилля (2.6), причем
![](data:image/png;base64,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)
![](data:image/png;base64,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) . (2.10)
Эта лемма играет ключевую роль во всех наших дальнейших исследованиях, одним из следствий этой леммы является следующая
Достарыңызбен бөлісу: |